Question

if area of triangle is 50cm^2 and one its side is 10cm then find the length of corresponding altitude

Answer 1

Area of a triangle=1/2*base*height
50 cm^2=1/2*10 cm* height
50 cm^2=5 cm * height
height=50 cm^2/5 cm
height= 10 cm.
height is known as altitude and it is always perpendicular to corresponding side.so we can use formula of area of a right angled triangle.

Answer 2

Given,

The area of the triangle is 50cm^2 and one of its sides is 10cm.

To Find,

The length of the corresponding altitude =?

Solution,

We can solve the question as follows:
It is given that the area of the triangle is 50 cm^2 and one of its sides is 10 cm. We need to find the length of its corresponding altitude.

The area of a triangle when one of its sides and the corresponding altitude is given is:

$Area = \frac{1}{2} * b * h$

$b = base/side$

$h = height/altitude$

Given,

$b = 10\: cm$

$Area = 50\: cm^{2}$

Substituting the values in the formula,

$50 = \frac{1}{2} * 10 * h$

$50 = 5*h$

$h = \frac{50}{5} = 10$ $cm$

Hence, the length of its corresponding altitude if 10 cm.