Answered

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.

Answer :

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

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

Therefore, the lengths of the legs is 5.6 inches

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