Question

A jeweler is making a triangular pendant. He has two sides of length 23 mm and 31 mm. What are the

possible lengths (in whole mm) for the third side?

Answer 1

38.60mm

Explanation:

Step one:

Given data

We are given that the dimension of the triangles are length 23 mm and 31 mm

Let us assume that the triangle is a right angle triangle

Step two:

Applying the Pythagoras theorem we can find the third as

`z^2= x^2+y^2\\\\z^2= 31^2+23^2\\\\z^2= 961+529\\\\z^2= 1490\\\\`

square both sides

z= √ 1490

z= 38.60mm

Hence a possible dimension of the third side is 38.60mm