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ch4aika [34]
3 years ago
9

The hypotenuse of an isosceles triangles measures 10 inches long. What is the length of one leg of the triangle?

Mathematics
2 answers:
castortr0y [4]3 years ago
6 0

Answer:

the length of one leg of the triangle is, 5\sqrt{2} inches

Step-by-step explanation:

In the special triangle 45-45-90 right isosceles triangle,

the ratio of sides to the hypotenuse of an isosceles triangle are:

a:a:a\sqrt{2}

As per the statement:

The hypotenuse of an isosceles triangles measures 10 inches long.

⇒a\sqrt{2} = 10

Divide both sides by \sqrt{2} we have;

a = \frac{10}{\sqrt{2}} = 5\sqrt{2}

⇒a= 5\sqrt{2} inches

Therefore, the length of one leg of the triangle is, 5\sqrt{2} inches

Ainat [17]3 years ago
4 0

The answer is 10/√2 which would be A.


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