Question

the diagonal of rhombus is 7 centimetre more than the other diagonal if the area of rhombus is 15 CM square find the measure of each diagonal​

Answer 1

The first diagonal of rhombus = 3 centimetre and the other diagonal of rhombus = 10 centimetre

Step-by-step explanation:

Let the first diagonal of rhombus = x centimetre and

The other diagonal of rhombus = (x + 7) centimetre

Given,

The area of rhombus = 15 $cm^{2}$

To find, the measure of each diagonal​ = ?

We know that,

The area of rhombus = $\dfrac{1}{2} \times d_{1} \times d_{2}$

⇒ $\dfrac{1}{2} \times x \times (x+7)$ = 15

⇒ x(x + 7) = 30

By inspection method,

3(3 + 7) = 30

x = 3

∴ The first diagonal of rhombus = 3 centimetre and

The other diagonal of rhombus = (3 + 7) = 10 centimetre