Question

A rectangle has a length of 6cm by 8cm what is the length of a diagonal of the rectangle

Answer 1

10 cm

Explanation:

The diagonal of a rectangle splits the rectangle into two equal right triangles. The legs of the triangle are 6cm and 8cm. This means the Pythagorean theorem can be applied to find the third side of the triangle.

The Pythagorean theorem is
`a^2+b^2=c^2`.

Here a= 6 and b=8.

`6^2+8^2=c^2\\36+64=c^2\\100=c^2\\10=c`