# SAT Math Multiple Choice Practice Question 602: Answer and Explanation

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**Question: 602**

**16.**

In the figure above, what is the length of ?

A. 8

B. 9

C. 12

D. 15

E. 16

**Correct Answer:** C

**Explanation:**

**C** The 5 equal lengths that make up the two sides of the largest triangle tell us that we are dealing with 5 similar triangles. The largest triangle has sides 15 : 25 : 30, and the sides of all 5 triangles will have an equivalent ratio. Reduced, the ratio is 3 : 5 : 6, which happens to be the dimensions of the smallest triangle. We want to find the length of *BD,* the base of a triangle with sides of 6 and 10. This is twice as big as the smallest triangle, so the base *BD* must be 6 × 2 =12, answer C.