Question

Adjacent sides of a rectangle are 15cm and 9 cm. Find the length of its diagonal.​

Answer 1

Answer:

5 digonals of 15 cm and 9 cm

it will help you

Answer 2

Given :-

• AB = 15cm
• AC = 9cm

Aim :-

• To find the length of the diagonal.

Properties of a rectangle :-

• Opposite sides are equal
• Diagonals are equal
• The angle formed in the corners is 90°

Pythagoras theorem:-

We know that, in a right angled triangle, the base squared sumed with the height squared will be equal to the hypotenuse squared.

(base)² + (height)² = (Hypotenuse)²

Let us take ∆ACD.

• Base = CD = 15cm [opposite sides are equal]
• Height = AC = 9cm

The diagonal is the hypotenuse.

Substituting the values,

(15)² + (9)² = (AD)²

225 + 81 = (AC)²

306 = (AC)²

Transposing the power,

√306 = AC

Hence the diagonals are √306cm in length