Question

The length of the first side of a triangle is half the length of the second side. The length of the third is 5cm more than triple the length of the second. Use the letter x and find expressions to represent the length of each side

Answer 1

Length of

• first side =
  `(x)/(2)`

• second side = x

• third side = 5 +3x

Explanation:

Given:

Length of the first side of a triangle is half the length of the second side

The length of the third is 5cm more than triple the length of the second

To find:

The expression representing the sides of the triangle

Solution:

Let us first assume the second side of the triangle to be x, since the the first and the third sides are based on the length of the second side

Now, the length of the first side is said to be half of the second side, so

The length of the first side will be =
`(x)/(2)`

The length of the second side is 5cm more than triple the length of the second

So the length of the third side will be

5 +3x