Problema Solution
An art studio purchased a triangular plot of land in a town and constructed a new building whose base is in the shape of a right triangle. The two legs have lengths of x-3 feet and x+4 feet. The hypotenuse is 2x-29 feet. Find the lengths of the three sides.
Answer provided by our tutors
right triangle, therefore the sum of the square of the legs equals the square of the hypotenuse:
(x-3)^2 + (x+4)^2 = (2x-29)^2
solving for 'x' we have x = {8, 51}
since this is a building, we take the larger value of 51
51-3 = 48
51+4 = 55
2*51 -29 = 73
The building is 48 feet and 55 feet on the legs of the triangle with a hypotenuse of 73 feet