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**How do you find " given a rhombus with a perimeter of 104 inches and a shorter diagonal of 20 inches, find the measure of the longer diagonal"**

How do you find " given a rhombus with a perimeter of 104 inches and a shorter diagonal of 20 inches, find the measure of the longer diagonal"

**Answer**

Well, you have the side as a quarter of the perimeter, that is 26 in, and a half of diagonal which is 10 in.

Because you could make a rhombus in 4 equivalent triangles (draw the diagonals to see them), and because they're right, you could apply Pythagoras' Theorem in any of them to get 24 in.

The longer diagonal is 48 in.

##### Virtual Teaching Assistant: John B.

##### Question Level: Basic

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##### Upload Date: 5/31/2017

This 56 words question was answered by John B. on StudySoup on 5/31/2017. The question contains content related to Math Since its upload, it has received 85 views.