The leg of a right-angled triangle is 35 mm, its perimeter is 84 mm, and the hypotenuse is 37 mm. Find the second leg.

Since the perimeter of a triangle is equal to the sum of its three sides, then P = a + b + c. Substituting the values of the perimeter, leg and hypotenuse, we can find the second leg. 84 mm = 35 mm + 37 mm + h, h = 84 mm – 35 mm – 37 mm, h = 12 mm.
Answer: the second leg of the triangle is 12 mm.



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