Question

Explain why the triangles are similar, then find the value of x.
Given: The two triangles' bases are parallel.

Answer 1

ok the similar shapes are equiangular



the angles marked A are equal... corresponding angles in parallel lines

the angles marked B are equal ... corresponding angles in parallel lines

The angle marked C is common to both triangles...

the side length of the larger triangle is 9

so compare the ratios of corresponding sides

\[\frac{9}{6} = \frac{x}{7}\]

cross multiplign gives

63 = 6x

solve for x...

Answer 2

10 1/2

Answer 3

@campbell_st is it AA or SAS?

Answer 4

its AA... equi-angular..

Answer 5

Okay thank you!