If a 45° - 45° - 90° triangle has a hypotenuse of 7.07, find the length of each leg. (Round your answer to the nearest whole number.)Answer:Question 12

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If a 45° - 45° - 90° triangle has a hypotenuse of 7.07, find the length of each leg. (Round your answer to the nearest whole number.)

Answer: Question 12

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Solution

In a 45° - 45° - 90° triangle, the length of the hypotenuse is √2 times the length of each leg. This is a special property of 45° - 45° - 90° triangles.

Given that the hypotenuse is 7.07, we can set up the equation:

Leg length * √2 = 7.07

To solve for the leg length, we divide both sides of the equation by √2:

Leg length = 7.07 / √2

This gives us a leg length of approximately 5.

So, each leg of the triangle is approximately 5 units long when rounded to the nearest whole number.

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If a 45° - 45° - 90° triangle has a hypotenuse of 7.07, find the length of each leg. (Round your answer to the nearest whole number.)Answer:Question 12

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