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