Question

Find the length of the diagonal of a rectangle whose length and breadth are 4m and 3m respectively.

Answer 1

Answer:

The diagonal is 5m.

Step-by-step explanation:

Solution :

Length = 4 m

Breadth = 3 m

Length of diagonal = ??

Let the length of diagonal be y.

In ∆ ADC,

• Hypotenuse = AC = y
• Height = AD = 4 m
• Base = DC = 3 m

★ (Hypotenuse)² = (Base)² + (Height)²

⇒ (y)² = (3)² + (4)²

⇒ y² = 9 + 16

⇒ y² = 25

⇒ y = √25

⇒ y = 5

Hypotenuse = 5 m

Therefore, the diagonal is 5m.

Answer 2

Given :

• Length is 4 m
• Breadth is 3 m

To find :

• Diagonal

Formula used :

• (Hypotenuse)²=(Base)²+ (Height)²

According to the question,

→ (Hypotenuse)² = (Base)²+ (Height)²

→ (AC)² = (AB)² + (BC)²

→ (AC)² = (3 m)² + (4 m)²

→ (AC)² = 9 m² + 16 m²

→ (AC)² = 25 m²

→ AC = √25 m²

→ AC = √ 5 m × 5 m

→ AC = 5 m

.°. Diagonal is 5 m.