If the radius of an inscribed circle in a right triangle is 3 cm and the non-hypotenuse side is 14 c

Emmy Dillon

Emmy Dillon

Answered question

2022-06-15

If the radius of an inscribed circle in a right triangle is 3 cm and the non-hypotenuse side is 14 cm, calculate triangle's area. I've tried to use the formula: r = a + b c 2 but that doesn't help me that much.

Answer & Explanation

Kaydence Washington

Kaydence Washington

Beginner2022-06-16Added 32 answers

3 = a + 14 c 2 c a = 8
a 2 + 14 2 = c 2 ( c a ) ( c + a ) = 196
So, c + a = 24.5and hence a = 8.25
A = 1 2 a b = 57.75

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