Question

Find the length of the diagonal of a rectangle whose length and breadth are 8cm and 15 cm respectively

Answer 1

Step-by-step explanation:

let the rectangle be ABCD

Join AC

length (AB) =8 cm

breadtj (BC) = 15 cm

by pythagoras theorm,

in triangle ABC

AC sq.= AB sq. + BC sq.

AC sq. = (8) sq. + (15) sq.

AC = root (64 + 225)

AC = root (289)

AC = 17

the length of diagonal = 17 cm

Answer 2

Given :

• Length = 8 cm
• breadth = 15 cm

To find :

• The length of the diagonal of a rectangle

solution :

In ΔABC,

AC² = AB² + BC²

AC² = 8² + 15²

AC² = 64 + 225

AC = √64 + 225

AC = √289

AC = 17 cm

=> The length of the diagonal of a rectangle is 17 cm