Question

the area of a triangle is 240 metre square .if its base is 48m, find the length of the corresponding altitude

Answer 1

Question:-

the area of a triangle is 240 metre square .if its base is 48m, find the length of the corresponding altitude

Answer:-

• The height of triangle is 10 m

To find:-

• Height of triangle

Solution:-

• Area of triangle = 240 m²
• Base of triangle = 48 m

As we know,

$\large{ \boxed{ \mathfrak{ \frac{1}{2} \times b \times h = area}}}$

Where,

• b = base of triangle
• h = height of triangle

According to question,

$\large{ \rm : \implies \: \: \: \: \: \: \: \: \: \: \frac{1}{2} \times 48 \times h = 240}$

$\large{ \rm : \implies \: \: \: \: \: \: \: \: \: \: 48 \times h = 240 \times 2}$

$\large{ \rm : \implies \: \: \: \: \: \: \: \: \: \: h = \frac{240 \times 2}{48}}$

$\large{ \rm : \implies \: \: \: \: \: \: \: \: \: \: h = 10}$

Hence,

The height of triangle is 10 m