In a right triangle a and b are the lengths of the legs and c is the length of the hypotenuse. a= 7 feet and c= 10 feet. Draw a diagram to show the known lengths described. Label the unknown length b. What is the length of b if necessary round to the nearest tenth

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15-05-2024
Mathematics

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In a right triangle a and b are the lengths of the legs and c is the length of the hypotenuse. a= 7 feet and c= 10 feet. Draw a diagram to show the known lengths described. Label the unknown length b. What is the length of b if necessary round to the nearest tenth

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jgreenbes jgreenbes · Answer 1 · 2024-05-15T12:29:05-04:00

Answer:

In a right triangle, the Pythagorean Theorem states that the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (legs), which are a and b. The formula is expressed as:

Given:

a = 7 feet

c = 10 feet

We need to find the length of side b, which is the unknown.

1. Substitute the given values into the formula:

2. Simplify the equation:

3. Subtract 49 from both sides:

4. To find the length of b, take the square root of both sides:

Therefore, the length of side b is approximately 7.1 feet.

Step-by-step explanation: