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Solve for x! 37m,12m,5xm

Solve for x! 37m,12m,5xm-example-1
User SeyT
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1 Answer

24 votes
24 votes

Answer:


\Huge\boxed{x=7}

Explanation:

Hello there!

The first thing we want to do is find the measure of the large leg

To do so we use the Pythagorean theorem which says
a^2+b^2=c^2\\

where a and b are legs and c is the hypotenuse

we want to find b given the hypotenuse and short leg

so
b^2=c^2-a^2

all we have to do is plug in a ( a = short leg so a would equal 12) and c ( c = hypotenuse so c would equal 37)

so


b^2=37^2-12^2\\37^2=1369\\12^2=144\\1369-144=1225\\b^2=1225\\√(b^2) =b\\√(1225) =35\\b=35

so the longer leg is equal to 35

35=5x

divide each side by 5

5x/5=x

35/5=7

we're left with x=7

User Elevendollar
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2.8k points