Find the length of the hypotenuse of a right-angled triangle if the median drawn to the hypotenuse is 6 cm.
| September 17, 2021 | education
The median of a right-angled triangle can be calculated using the formula:
m = 0.5√ (a ^ 2 + b ^ 2), where m is the length of the median (m = 6 cm), a is the length of the first leg of a right triangle, b is the length of the second leg of a right triangle.
√ (a ^ 2 + b ^ 2) = 2 * m = 2 * 6 = 12 cm.
The hypotenuse of a right-angled triangle can be calculated using the formula:
c = √ (a ^ 2 + b ^ 2) = 12 cm.
Answer: The length of the hypotenuse of a right-angled triangle is 12 cm.
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