Question

The sides of a rectangle are 8cm and 6cm. What is the length of the diagonal. 12cm 10cm 9cm 7cm

Answer 1

10 cm

Explanation:

The diagonal d divides the rectangle into 2 right triangles with legs 8 and 6 and hypotenuse d

Using Pythagoras' identity in one of the right triangles, then

d² = 8² + 6² = 64 + 36 = 100 ( take square root of both sides )

d =
`√(100)` = 10 cm

Answer 2

`\huge\boxed{c = 10\ cm}`

Explanation:

Using Pythagorean Theorem

`c^2 = a^2 + b^2`

Where c is the length of diagonal, a and b are the length of the rest 2 sides

=>
`c^2 = 8^2+6^2`

=>
`c^2 = 64 + 26`

=>
`c^2 = 100`

Taking sqrt on both sides

=> c = 10 cm