Question

the area of triangle is 91 sq.m. and it's base is 13m find the height of triangle.​

Answer 1

Given:

A triangle with

• Area = 91 sq.m
• Base = 13 m

What To Find:

We have to find the height of the triangle.

How To Find:

To find the height, we will use the formula

• $\sf{Area = \dfrac{1}{2} \times Base \times Height}$
• Substitute the values and solve

Solution:

Using the formula,

⇒ $\sf{Area = \dfrac{1}{2} \times Base \times Height}$

Substitute the values,

⇒ $\sf{91 \: sq.m = \dfrac{1}{2} \times 13 \: m \times Height}$

Multiply 13 and height,

⇒ $\sf{91 \: sq.m = \dfrac{13 \times Height}{2}}$

Take 2 to LHS,

⇒ $\sf{91 \times 2 = 13 \times Height}$

Multiply 91 by 2,

⇒ $\sf{182 = 13 \times Height}$

Take 13 to LHS,

⇒ $\sf{\dfrac{182}{13} = Height}$

Divide 182 by 13,

⇒ 14 m = Height

∴ Thus, the height of triangle is 14 m.

Verification:

Using the formula,

⇒ $\sf{Area = \dfrac{1}{2} \times Base \times Height}$

Substitute the values,

⇒ $\sf{91 \: sq.m = \dfrac{1}{2} \times 13 \:m \times 14 \:m}$

Cancel 2 and 14,

⇒ 91 = 13 × 7

Multiply 13 by 7,

⇒ 91 = 91

∴ LHS = RHS

∴ Hence, verified.

Answer 2

Answer :-

• The height of the triangle is 14m.

Step-by-step explanation:

To Find :-

• The height of the triangle

Solution:

Given that,

• The area of triangle = 91m²
• Base of triangle = 13m

Figure :-

• Refer the attachment.

As we know that,

Area of triangle = 1/2 × b × h,

Where,

• b = Base
• h = Height

Therefore,

• 1/2 × 13 × h = 91

=> 1/2 × 13 × h = 91

=> 1 × 13 × h = 91 × 2

=> 13 × h = 91 × 2

=> 13 × h = 182

=> 13h = 182

=> h = 182/13

=> h = 14

Hence,

• The height of the triangle is 14m.

Know more :-

Some more information related to area :-

• Area of rectangle = Length × Breadth
• Area of square = side × side
• Area of trapezium = 1/2 × ( sum of all parallel sides ) × distance between the parallel sides
• Area of triangle = 1/2 × base × height
• Area of circle = π(r)²