Explain why the triangles are similar. Then find the missing length, x. ... C 26 in. A 13 in. 5 in Choose the reason that the triangles are similar. O A. Both triangles are right and scalene. OB. All right triangles are similar. 2 2 OC. The Pythagorean theorem states that a² + b² = c². Thus, the corresponding sides are proportional. OD. 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.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter5: Similar Triangles
Section5.CR: Review Exercises
Problem 42CR
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Explain why the triangles are similar. Then find the
missing length, x.
X
26 in
W
13 in
5 in
Choose the reason that the triangles are similar.
O A. Both triangles are right and scalene.
OB. All right triangles are similar.
O C.
2
The Pythagorean theorem states that a² + b² = c². Thus, the corresponding sides are proportional.
OD. 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.
Transcribed Image Text:Explain why the triangles are similar. Then find the missing length, x. X 26 in W 13 in 5 in Choose the reason that the triangles are similar. O A. Both triangles are right and scalene. OB. All right triangles are similar. O C. 2 The Pythagorean theorem states that a² + b² = c². Thus, the corresponding sides are proportional. OD. 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.
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