Question

Find the area of rhombus whose one side is 13cm and one diagonal is 24cm

Answer 1

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Answer 2

Answer:

The area of a rhombus is 120 square Centimeters.

Step-by-step explanation:

In rhombus the diagonals are perpendicular and bisect each other at 90°.

Given one side and one diagonal

Then we using Pythagorean theorem to find the other diagonal.

Given a side = 13cm

one diagonal ( d1) = 24cm

Area of rhombus is = 1/2(d1 × d2)

here d1, d2 are diagonals of a rhombus.

d2 = $2\sqrt{(13)^{2}-(12)^{2} }$

$d2=2\sqrt{169 - 144} \\ d2= 2\sqrt{25} \\d2 = 2*5\\d2 = 10$

Area of rhombus = $\frac{1}{2} *24*10$

                           =$12*10$

                            =$120cm^{2}$