Question

• Find the length of the diagonal of a rectangle whose length is 15 cm and breadth is 8cm. ​

Answer 1

Given :-

Length = 15 cm

Breadth = 8 cm

To Find :-

Diagonal

Solution :-

• (D)² = (L)² + (B)²
• (D)² = (15)² + (8)²
• (D)² = 225 + 64
• (D)² = 289
• D = √(289)
• D = 17

Hence,

The diagonal is 17 cm

Answer 2

Answer:

Given :-

• A rectangle whose length is 15 cm and breadth is 8 cm.

To Find :-

• What is length of the diagonal of a rectangle.

Solution :-

Given :

• Length = 15 cm
• Breadth = 8 cm

According to the question by using the Pythagoras theorem we get,

❖ Diagonal = √(Length)² + (Breadth)² ❖

➟ Diagonal = √(15)² + (8)²

➟ Diagonal = √(15 × 15) + (8 × 8)

➟ Diagonal = √(225) + (64)

➟ Diagonal = √289

➟ Diagonal = √17 × 17

➦ Diagonal = 17

∴ The length of the diagonal of a rectangle is 17 cm .