Find the leg of each isosceles right triangle when the hypotenuse is of the given measure. Given = 12 cm

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12-07-2017
Geography

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Find the leg of each isosceles right triangle when the hypotenuse is of the given measure. Given = 12 cm

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vokovmas000 vokovmas000 · Answer 1 · 2017-07-12T18:18:13+02:00

vokovmas000 vokovmas000

12-07-2017

we have given
hypotenuse=6√2
let us suppose leg =a
using Pythagorean theorem
a^2+a^2=(6√2)^2
2a^2=36*2
diving by 2 on both sides
a^2=36
taking square root on both sides
√a^2 =√36
a=6
therefore

the leg of each isosceles right triangle is 6

Hope this helps!

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