If A, B, and C are the measures of the angles of a triangle, and a, b, and c are the lengths of the sides opposite these angles, then the Law of Cosines states that a2 =________.

Q: The complement of the supplement of an obtuse angle is always:

A: The supplement of an obtuse angle is always acute angle   An acute angle is an angle which measures…

Q: The two sides of a triangle are of lengths 300m and 150m, and the angle opposite the 150m-side is 26…

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Q: 3. Use the Law of Cosines to find the angle A of the given triangle. * 19 A 17 23 Option 1) 69.4 deg…

A: In the given figure, we have a=23, b=17, and c=19, then we have to find the angle A by using the…

Q: If sides of a triangle are 5.5 and 4.7 respectively. Angle opposite to the side 5.5 is 63 degrees.…

A: Given: Sides of the triangle are 5.5 and 4.7 Angle opposite to the side 5.5 is 63 degree. To…

Q: 7. The side of triangle 33 meter, 45 meter, and 34 meter respectively. Find the angle opposite of…

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: 15. Which of the following is a true statement about the triangle below? L 44 770 A. It is an…

A: Sum of interior angle of triangle 180 degree

Q: If A, B, and C are the measures of the angles of any triangle and if a, b, and c are the lengths of…

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Q: 13. A triangle has side lengths 28, 45, and 55. Is the triangle acute, obtuse, or right? Acute…

A: Which triangle?

Q: For triangle ABC with sides a, b, and c the Law of Cosines states the following.

A: Given,             The triangle ABC with sides a,b and c.

Q: The longest side of a right angled triangle is 20 cm and one of the other sides is 16 cm. Find the…

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Q: Refer to triangle ABC, which is not necessarily a right triangle. Find two triangles for which A =…

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Q: 6) Find the missing side and all the angles in the triangle ABC below. Round your answers to the…

A: Please refer the attached image for complete solution.

Q: QUESTION3 3.1 Calculate the unknown angles in each of the following, giving reasons for all your…

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Q: What is the reference angle for the given angle measure drawn in standard position? Drag an angle…

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Q: if a= 9, b=9, c=8 find the angles A,B, and C. Give your answer in degrees to at least 3 decimal…

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Q: 1. A triangle has side lengths 12, 36, and 35. Is the triangle acute, obtuse, or right? O Acute O…

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Q: 14. The shortest side of a triangle with angles 50°, 60°, and 70° has a length of 11.0. What is the…

A: Let, Three angles of the triangle is A=50°, B=60°, and C=70°. The opposite side of angle A is a. The…

Q: 6. Find the lengths of the missing sides if side a is opposite angle A , side b is opposite angle B…

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Q: 3. In a right triangle, angle A has a measure of 19°. If the hypotenuse of this right triangle has a…

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Q: A triangle is a right triangle, if the lengths, a, b, and c, of its three sides satisfy the…

A: To chech which of the following forms a right angle. To check whether the given sides of the…

Q: 17. For a triangle PQR, give one example of a set of angle measures and/or side lengths that would…

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Q: and 17. The interior angle measures of a triangle are 4, 4

A: Triangle Question

Q: 2.) Prove triangles ABC and DEF are similar. Given: AB BC AC DE EF DF -F -C

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Q: A right triangle has a hypotenuse of 24 and an angle 50°. Calculate the length of its shortest side.…

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Q: 11. Find all missing sides and angles for triangle ABC, where a, b, and c are lengths of the sides…

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Q: 31. Inscribed in a triangle ABC is a circle touching the side AB at the point M, and the side AC at…

A: Given that : a circle inscribed in a triangle ABC touching the side AB at the point M and side AC at…

Q: The Law of Cosines must be used when only the measures of two sides and the included angle are known

A: Law of cosines

Q: Three survey markers are located on a map at points H, I, and J. A triangle is formed by connecting…

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Q: If ZM is an acute angle, give two possible values of n? 1. (3n -60)" If ZM is a right angle, give…

A: here we have to find the possible value of n

Q: Proposition I.6 If two angles in a triangle are equal the sides opposite these angles are also…

A: given  two angles in a triangle are equal , that∠B=∠C to prove - opposite sides of these angles are…

Q: one angle of a right triangle is of ______,then hypotenuse is twice as long as the side opposite to…

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Q: Contrapositive: "If the sum of the interior angles of a geometric figure is not 180 degrees, then…

A: Contrapositive statement means  if p→q then the contra positive statement means ~q→~p

Q: 4. In the right tri angle ABC below, C is the right angle, and two sides are given. Find csce of the…

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Q: If you are looking for a missing side of a triangle, what do you need to know when using the Law of…

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Q: Two triangles are similar, and the Which statement regarding the two triangles is not O a Their…

A: The solution is given below-

Q: 13) An isosceles triangle is shown. Which two angles must be congruent? A) ZV = ZW B) ZV = 2X C) ZW…

A: Traingle V and W are congurant.

Q: 3. Use the Law of Cosines to find the angle A of the given triangle. 19 A 17 23 Option 1) 69.4 deg…

A: We have to use law  of cosine  to find the angle of traingle when all the three sides of triangle…

Q: 7. Why is angle 1 congruent with angle C in the diagram? A B. DE \FG O They are vertical angles. O…

A: The angles opposite each other when two lines cross. They are always equal. They are also called…

Q: 14. ACDE is an isosceles triangle with CD = DE . If CD = 9x - 25, DE = 6x + 8, and CE = 10x – 73,…

A: As you mentioned question number 14 solved

Q: 1. In which of the following triangles, as marked, can the Law of Cosines be used? 10 .. . || IV 9…

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Q: If you are given a right triangle where the smallest angle (B) is 45 degrees, the longest side is…

A: Given: A right angled triangle with ∠B=45°. Longest side is 2 inches. Shortest side is 1 inch. The…

Q: (a) A right triangle with legs (the sides including the right angle) of length 3 cm and 5 cm How…

A: (a) Let b be the length of the side opposite the right angle. Using the law of cosines to solve for…

Q: Find the unknown angles in a triangle ABC with B=48.2,a=890 cm, and b=697cm If there is no triangle…

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Q: 3. ACDE is an isosceles triangle with ZD = ZE. If CD = 4x + 9, DE = 7x -5, and CE = 16x – 27, find x…

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Q: A triangle has side c = 2 and angles A = p/4 and B = p/3. Findthe length a of the side opposite A.

A: To find a

Q: Two sides of a triangle are 21 and 17. Which answer would be a possible length for the third side of…

A: Given two sides of a triangle are 21 and 17. To find the possible length of third side from given…

Q: The lengths of the sides for two triangles are listed here. What side corresponds to segment DE?…

A: Length of sides triangle #1 Length of sides triangle #2 AB = 3 DE =12 BC = 4 DF =7 AC = 5 EF…

Q: 1 1 Congruent Triangles? Determine whether the pair of tri- angles is congruent. If so, state the…

A: Note: Since you have posted multiple questions we will solve only first question for you. If you…

Q: Determine the relationship between the two triangles and whether or not they can be proven to be…

A: The Angle-Side-Angle Postulate (ASA) states that if two angles and the included side of one triangle…

Q: IC are the measures of the angles of a triangle, and a, b, and c are the lengths of the sides…

A: we have to solve the problem