Two sides on a triangle 9cm and 23cm what is the third side

Mathematics · High School · Tue Nov 03 2020

Answered on

Given:

Sides of a triangle = 9cm and 23cm

Solution:

Let us assume that 9 cm is the height of the triangle and 23cm is the length of the entire base. In order to find the other side, or the hypotenuse, we simply need to take the half of the base so we can represent it as a right triangle, and then solve using Pythagorean theorem

Length of base= 23/2

Length of base= 11.5

Pythagorean Theorem:

c^2 = a^2 + b^2

c =√(a^2 + b^2)

c= √((9)^2 + (11.5)^2)

c= √(213.5)

c = 14.6 cm

Final answer:

The length of the other side is 14.6cm