A right traingle hypotenuse has length 7 if one leg has length 3 what is the length of the other leg

asked Sep 14, 2019 49.3k views

2 votes

by Karln

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6 votes

c = 7 - a hypotenusea = 3 - a legb = ? - a leg
Use the Pythagorean theorem:

a^2+b^2=c^2

Substitute:

$3^2+b^2=7^2\\\\9+b^2=49\ \ \ |-9\\\\b^2=40\to b=√(40)\\\\b=√(4\cdot10)\\\\b=2√(10)$

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