Question

The diagonals of a quadrilateral are of lengths 6cm and 8cm. If the diagonals bisect each other at the right angles. Find the length of each side of quadrilateral ?

Answer 1

Each side is 5 cm

Explanation:

What you are being told is that the figure is a rhombus. The two sides of a right triangle are 1/2 the size of the diagonals.

a = 3

b = 4

c = the side length of the rhombus.

a^2 + b^2 = c^2

3^2 + 4^2 = c^2

9 + 16 = c^2

25 = c^2

Take the square root of 25

sqrt(c)^2 = sqrt(25)

c = 5