Problema Solution
The area of a right triangle is 84cm2.if one of its leg is 24cm long find the length of the other 2 sides of the other triangle
Answer provided by our tutors
A = 84 cm^2
a = 24 cm
b = the other leg
c = the hypotenuse
Since the area A = (1/2)ab we have:
(1/2)24b = 84
12b = 84 divide both sides by 12
b = 84/12
b = 7 cm
Using the Pythagorean Theorem we will find the hypotenuse:
c^2 = a^2 + b^2
c^2 = 24^2 + 7^2
c^2 = 625
c = 25 cm
The lengths of the other two sides of the right triangle are 7 cm and 25 cm.