Question

Given a similar pair of triangles, find the missing length x and the missing angles A, B, and C.

Answer 1

The value of x is 81.25

The values of angle A, B, C are 65°, 94°, and 21° respectively.

Similar triangles are triangles that have equal corresponding angles and the ratio of their corresponding sides are equal.

Since the two triangles are similar , then

The values of angle A, B, C are 65°, 94°, and 21° respectively.

To find x

48/60 = 65/x

48x = 60×65

48x = 3900

x = 3900/48

x = 81.25

Therefore the value of x is 81.25

Answer 2

x=81.25, A=65, B=94, C=21

Explanation:

corresponding angles of similar triangles are equal, hence angle measurements of A, B, and C. To solve for x, set up a ratio (60/48=x/65) and solve