Exercise 1 Page 586

Let's analyze the given triangles.

First, notice that two angles of the smaller triangle are congruent to two angles of the bigger triangle. Therefore, by the Angle-Angle Similarity Theorem, these triangles are similar. △_(Smaller) ~ △_(Bigger) We are given the lengths of the corresponding sides of the triangles. Recall that if two triangles are similar, the lengths of their corresponding medians are proportional to the lengths of their corresponding sides. Therefore, we can write the following proportion. x/10 = 12/15 Let's solve it!

x/10 = 12/15

▼

Solve for x

ReduceFrac

a/b=.a /3./.b /3.

x/10 = 4/5

MultEqn

LHS * 10=RHS* 10

x = 10 * 4/5

Multiply

Multiply

x = 8