The length of the diagonals of a rhombus are 30cm and 40cm. Find the side of the rhombus

Question

asked Nov 17, 2021 30.9k views

1 Answer

Alex Gittemeier · Answer 1 · 2021-11-23T10:40:01+0000

Answer:

The side length of the rhombus is 25 cm

Explanation:

Rhombus

We know that the diagonals of a rhombus are perpendicular to each other.

We are given the length of each diagonal as d1=30 cm and c2=40 cm.

They meet at the center at half those lengths, thus a right triangle is formed with legs 30/2=15 cm and 40/2=20 cm

Thus, applying Pythagora's Theorem, the side length of the rhombus is:

L =√(15^2+20^2)

L =√(225+400)

L =√(625)

L = 25 cm

The side length of the rhombus is 25 cm