The length of the one of the legs of a right triangle is 8m and the hypotenuse is 12m
Mathematics · High School · Tue Nov 03 2020
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Given:
Length of one leg of a right triangle: 8m
Hypotenuse of the right triangle: 12m
Find the missing length.
Solution:
In order to find the missing length of the triangle we used the Pythagorean theorem
c^2 = a^2 + b^2
a = side of the right triangle
b = side of the right triangle
c = hypotenuse
Since we are already given the hypotenuse and the one side of the triangle, we solve for b.
b = √(c^2-a^2)
b =√((12)^2 - (8)^2)
b = √(144-64)
b=√80 or 8.94