Question

The perimeter of a triangle ABC is 100 cm. The length of AB is 45 cm. and the length of BC is 32 cm. What is the length of CA? A) 23 B 33 cm. C) 25 cm. 45 cm.

Answer 1

A) 23

Step-by-step explanation

The perimeter of a triangle is the sum of the lengths of its sides. The perimeter of triangle ABC is then:

`P=AB+BC+CA`

We know that P = 100 cm, AB = 45cm and BC = 32cm:

`100=45+32+CA`

Add 45 and 32:

`100=77+CA`

Subtract 77 from both sides of the equation:

`\begin{gathered} 100-77=77-77+CA \\ 23=CA \end{gathered}`

The length of side CA is 23 cm