SOLUTION: What is the area of a rhombus of side length 17cm which has a short diagonal of length of 16cm?

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Question 1179704: What is the area of a rhombus of side
length 17cm which has a short
diagonal of length of 16cm?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

a-rhombus

Given:
a=17cm
q=16cm
find the length of the other diagonal
use right triangle whose legs are +p%2F2, q%2F2=8cm, and hypothenuse is a=17cm
p%2F2=sqrt%28%2817cm%29%5E2-%288cm%29%5E2%29
p%2F2=sqrt%28289cm%5E2-64cm%5E2%29
p%2F2=sqrt%28225cm%5E2%29
p%2F2=15cm
p=30cm
then area is:
+A+=+%28p%2Aq%29%2F2
A+=+%2830cm%2A16cm%29%2F2
A=+240cm%5E2