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8_murik_8 [283]
3 years ago
11

If the hypotenyse of an isosceles triangle is 8 inches, is there enough information to find the length of the legs? If yes, find

the length of the legs. Round to the nearest tenth if necessary.
Mathematics
1 answer:
OLga [1]3 years ago
3 0

Answer: 5..6 in.

Step-by-step explanation:

Given

Hypotenuse of isosceles triangle is 8 inches

In isosceles triangle two sides are equal

Suppose the other side is x

Using Pythagoras we can write

\Rightarrow x^2+x^2=8^2\\\Rightarrow 2x^2=64\\\Rightarrow x^2=32\\\Rightarrow x=4\sqrt{2}\approx 5.6\ in.

Therefore, the lengths of the legs is 5.6 inches

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