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

Answer :

The length of legs of isosceles right triangle is 8.5 cm

Solution:

Given is a isosceles triangle

hypotenuse = 12 cm

In an isosceles right triangle, the legs have equal lengths

Let these sides be each  "a" cm

By pythogoras theorem,

[tex](Hypotenuse)^2 = (leg)^2 + (leg)^2\\\\12^2 = a^2+a^2\\\\2a^2 = 144\\\\a^2 = 72\\\\Take\ square\ root\ on\ both\ sides\\\\a = \sqrt{72}\\\\a = 8.49 \approx 8.5[/tex]

Thus the length of leg of  isosceles right triangle is 8.5 cm

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