Question

Find the length of the diagonal of the rectangle whose length is 24 cm and breadth is 10 cm. *

Answer 1

Question :–

Find the length of the diagonal of the rectangle whose length is 24 cm and breadth is 10 cm.

Given :–

• length = 24cm
• breadth = 10cm

To Find :–

• The length of diagonal of the Rectangle.

Solution :–

By Pythagoras theorem,

→ h² = l² + b²

→ h² = (24)² + (10)²

→ h² = 576 + 100

→ h² = 676

→ h = √676

→ h = 26cm

Hence,

The length of diagonal of the Rectangle is 26cm.

Answer 2

✬ Diagonal = 26 cm ✬

Step-by-step explanation:

Given:

• Length of rectangle is 24 cm.
• Breadth of rectangle is 10 cm.

To Find:

• What is the length of diagonal of rectangle ?

Solution: Let ABCD be a rectangle in which,

• AB = Length
• BC = Breadth
• AC = Diagonal

As we know that the each angle of the rectangle is of 90°. Therefore, in right angld triangle at B we have -

• AB = Base {24 cm }
• BC = Perpendicular {10 cm}
• ∠ABC = 90°
• AC = Hypotenuse

Using Pythagoras Theorem in ∆ABC.

★ H² = P² + B² ★

$\implies{\rm }$ AC² = BC² + AB²

$\implies{\rm }$ AC² = 10² + 24²

$\implies{\rm }$ AC² = 100 + 576

$\implies{\rm }$ AC² = 676

$\implies{\rm }$ AC = √676

$\implies{\rm }$ AC = 26

Hence, the measure of diagonal of rectangle is 26 cm.