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# geometry questions

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(1) In triangle JKL, we have JK = JL = 25 and KL = 30. Find the area.

(2) In triangle ABC, we have AB = 5, AC = 12, BC = 13. Find the circumradius.

May 1, 2022

#1
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1) Use Heron's formula: $$\sqrt{s(s-25)(s-25)(s-30)}$$, where $$s = {{25 + 25 + 30} \over 2}$$

May 1, 2022
#2
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2) Because we have a right triangle, we know the circumradius is half of the hypotenuse (longest side length). This means that the circumradius is $$\color{brown}\boxed{6.5}$$

May 1, 2022