Problema Solution

Find the area and the perimeter of a rght triangle whose legs are 16.8 cm and 32 cm

Answer provided by our tutors

let


a = 16.8 cm


b = 32 cm


c = the hypotenuse of the right triangle, c>0


the area of a right triangle is calculated by the formula: A = (1/2)ab


A = (1/2)*16.8*32


A = 268.8 cm^2


the perimeter of a triangle is: P = a + b + c


lets find c using the Pythagorean Theorem:


c^2 = a^2 + b^2


c^2 = 16.8^2 + 32^2


c = 36.14 cm


the perimeter is:


P = 16.8 + 32 + 36.14


P = 84.94 cm