Question

Find the measure of NP on the triangle

Answer 1

B

Explanation:

Let NP be x

MR/MQ = MP/MN

(8+2)/8 = (5+x)/5

10/8 × 5 = 5 + x

5 + x = 6.25

x = 1.25

Answer 2

NP = 1.25

Explanation:

Since the triangles are similar, we can use ratios to solve

5 8

------------ = ----------------

5+NP 8+2

5 8

------------ = ----------------

5+NP 10

Using cross products

5*10 = 8(5+NP)

Distribute

50 = 40+8NP

Subtract 40 from each side

50-40 = 8NP

10 = 8NP

Divide by 8

10/8 = NP

1.25 = MP