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the leg of a right triangle is 4 units and the hypotenuse is 9 units. what is the length in units of the other leg of the triangle?

2 Answers

7 votes

Because a squared + b squared = c squared, and we know that the hypotenuse is c, we can turn the equation into 9^2 - 4^2= the other leg of the triangle. This equation is equivalent to 81 - 16 = 65. Then, you have to find the square root of 65 to get the other leg which is 8.06.

User Curran
by
4.4k points
4 votes

Answer:

Explanation:

Pythagorean theorem,

leg ² + leg² = hypotenuse²

leg² + 4² = 9²

leg² + 16 = 81

leg² = 81 - 16

leg² = 65

leg = √65

leg = 8.06 units

User Will Haynes
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4.5k points