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Flauer [41]
3 years ago
11

Approximately how long is a leg of an isosceles right triangle that has a hypotenuse of length 11.31

Mathematics
1 answer:
Lapatulllka [165]3 years ago
7 0

Answer:

Leg of an isosceles right triangle is 7.99 long.

Step-by-step explanation:

Given:

Length of the hypotenuse =11.31

To find:

Length of the leg of an isosceles right triangle =?

Solution:

According to Pythagorean's Theorem, we have

a^2 +b^2 = c^2-----------------------------(1)

Here were are given as isosceles triangle, so the two sides will be of same length

So equation 1 can be rewritten as

a^2 +a^2 = c^2

2a^2 = c^2

Substituting the value of hypotenuse

2a^2 = (11.31)^2

2a^2 = 127.91

a^2 = \frac{127.91}{2}

a^2 =63.955

a = \sqrt{63.955}

a = 7.99

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