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HELLLP

The area of a right triangle is 60 ft2. The base of the triangle is 8 ft. What is the length of the hypotenuse? Show your work.

PLEASE SHOW YOUR WORK!! (something that i can copy)

Thank you

Respuesta :

apologiabiology
remember that tif the legs of a right tirsnalge are a and b and they hypoonuse is c then
a²+b²=c²

so

we also know that the area of a triangle is 1/2bh

we are given that area=60 and base=8
so
60=1/2 times 8 times height
60=4 times height
divide both sides by 4
15=height


so the legs are 15 and 8

a=15
b=8

15²+8²=c²
225+64=c²
289=c²
sqrt both sides
17=c

the hypoonuse is 17ft

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