Explain why the triangles are similar. Then find the missing length, x. CH X O C. All right triangles are similar. O D. Both triangles are right and scalene. L 28 in. 14 in. 6 in. Choose the reason that the triangles are similar. O A. One angle pair is given to have the same measure (right triangles). Another angle pair consists of vertical angles with the same measure. Thus, two angles of the large triangle are equal in measure to two angles of the small triangle. 2 B. The Pythagorean theorem states that a² + b² = c². Thus, the corresponding sides are proportional.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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ISBN:9780547587776
Author:HOLT MCDOUGAL
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Problem 12.10EP
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Explain why the triangles are similar.
Then find the missing length, x.
CH
X
O C. All right triangles are similar.
O D. Both triangles are right and scalene.
L
28 in.
14 in.
6 in.
Choose the reason that the triangles are similar.
O A. One angle pair is given to have the same measure (right triangles). Another
angle pair consists of vertical angles with the same measure. Thus, two
angles of the large triangle are equal in measure to two angles of the small
triangle.
2
B. The Pythagorean theorem states that a² + b² = c². Thus, the corresponding
sides are proportional.
Transcribed Image Text:Explain why the triangles are similar. Then find the missing length, x. CH X O C. All right triangles are similar. O D. Both triangles are right and scalene. L 28 in. 14 in. 6 in. Choose the reason that the triangles are similar. O A. One angle pair is given to have the same measure (right triangles). Another angle pair consists of vertical angles with the same measure. Thus, two angles of the large triangle are equal in measure to two angles of the small triangle. 2 B. The Pythagorean theorem states that a² + b² = c². Thus, the corresponding sides are proportional.
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