ma pa Explain why the triangles are similar. Then find the missing length, x. 42

Question

ma pa Explain why the triangles are similar. Then find the missing length, x. 42 in 14 in x. c Choose the reason that the triangles are similar. OA. All right triangles are similar O B. The Pythagorean theorem states that a+2. Thus, the corresponding sides are proportional ° C. Both triangles are right and scalene. O D. One angle pair is given to have the same measure (ight triangles). Another angle pair consists of vertical angles with the same me Ths, we anges of the large triangle are equal in measure to two angles of the small triangle Pe in.

Explanation / Answer

Both the triangles are right angled triangles. so one angle is same.

Now there is one angle in first triangle which is opposite to the angle in other triangle, so this angle is same as well.

The third angle has to be same as sum of 3 angles in a triangle is same.

that is why these triangles are similar.

so answer is option D

x/5 = 42/14

x = 5*3 = 15 in.

so answer is 15.

[please upvote the answer]

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