SOLUTION: Find the area of this figure https://ibb.co/fG8J40g4

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Question 1209970: Find the area of this figure
https://ibb.co/fG8J40g4
Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!


This is a rhombus is made of 4 special right triangles. 
These are 5-12-13 right triangles.

Each of them has shorter leg = 5, hypotenuse = 13, and therefore
longer leg = sqrt%2813%5E2-5%5E2%29=sqrt%28169-25%29=sqrt%28144%29=12

So each 5-12-13 right triangle below has base = 12 and height = 5

So each of the four 5-12-13 right triangles has area

A=expr%281%2F2%29%2Abase%2Aheight=expr%281%2F2%29%2A12%2A5=matrix%281%2C2%2C30%2Ccm%5E2%29 
 
and since there are 4 of them, the total area = 4%2A30+=+120 cm2.

I think you are studying special right triangles, so this is a good
page to look at:

https://flexbooks.ck12.org/cbook/ck-12-precalculus-concepts-2.0/section/4.3/primary/lesson/special-right-triangles-pcalc/

Edwin