# Find the perimeter of a right-angled triangle inscribed in a 7.5cm circle if one of the legs is 9cm

October 7, 2021 | education

| Let us determine what the hypotenuse should be in this right-angled triangle, if we know for sure from the condition of the problem that it is inscribed in a circle whose radius is 7.5 centimeters:

7.5 * 2 = 15.

Let us determine what the unknown leg will be if we know for sure from the condition of the problem that the length of the known leg is 9 centimeters:

√ (152 – 92) = √ (225 – 81) = √144 = 12.

Let’s define what then the perimeter of this triangle will be:

15 + 9 + 12 = 36.

Answer: With such initial data, it will be equal to 36 cm.

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