In a right-angled triangle, one of the legs is 9 cm, the hypotenuse is 15 cm. Find the other leg.
| March 10, 2021 | education
In order to determine the value of the length of the leg of a right-angled triangle, it is necessary to use the Pythagorean theorem, which says that the square of the unknown leg is equal to the difference between the square of the hypotenuse and the square of the known leg.
In literal form, we get:
a ^ 2 = c ^ 2 – b ^ 2
Substitute the known values into the formula and get:
a ^ 2 = 15 ^ 2 – 9 ^ 2 = 225 – 81 = 144.
√а = √144 = 12 cm.
Answer: The length of the second leg is 12 cm.
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