Using the Pythagorean theorem, find the length of a leg of a right triangle if the other leg is 8 foot long and the hypotenuse is 10 feet long?
Question
Answer:
⓵ The pythagorean theorem is calculated by using this formula : a² + b² = c² “a” is the length of one of the legs
“b” is the length of the other leg
“c” is the length of the hypotenuse
⓶ Now that you have the formula, replace the letters in the formula with the information that you have :
8² + b² = 10²
⓷ Now that this is done, you need to isolate the “b²” in order to find the length of the other leg of the triangle :
8² + b² = 10²
-8² -8²
↓
b² = 36
√b² √36
↓
b = 6
So the final answer is : the length of the other leg of the triangle is ↠ 6 feet
I really hope this helped, if there’s anything just let me know! ☻
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11 months ago
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