a.
To calculate:Thelength of a side HF.
a.
Answer to Problem 25PSC
The length of a side HF is 8.
Explanation of Solution
Given information:
Side
Side
Base of a
Formula used:
The below theorem is used:
Pythagoras theorem states that “In a right angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides”.
In right
Calculation:
Let
Apply Pythagoras Theorem in triangles GHF and HFE.
In right angle triangle GHF , we get
In right angle triangle HFE , we get
From Equation 1 and Equation 2, we get
In right angled triangle GHF , we get
b.
To show:Triangles
b.
Explanation of Solution
Given information:
Side
Side
Base of a triangle
Formula used:
The below property is used:
If two triangles are similar then their corresponding sides must be in proportion
Proof:
If
Their corresponding sides are not in proportion, so the triangles are not congruent.
Thus
Chapter 9 Solutions
Geometry For Enjoyment And Challenge
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