Question

If one diagonal of a rhombus is 15 meters long and it’s area is 157.5 square meters, find the measures of the other diagonal

Answer 1

The other diagonal measures 21m

Explanation:

In this question, we are tasked with calculating the length of the second diagonal of as Rhombus given the measure of the surface area of the rhombus and the length of the other diagonal

Mathematically, for a rhombus having two diagonals
`d_(1)` and
`d_(2)` , the area of the rhombus can be calculated mathematically using the formula below;

A = 1/2 ×
`d_(1)` ×
`d_(2)`

From the question, we can identify that A = 157.5
`m^(2)` and
`d_(1)` = 15m

we input these in the formula;

157.5 = 1/2 × 15 ×
`d_(2)`

315 = 15
`d_(2)`

`d_(2)` = 315/15

`d_(2)` = 21m