Let the base of the triangle be b. Let the height (altitude) be h. Then the area (A) of that triangle varies as :

A ∝ 1/bh

No worries! We‘ve got your back. Try BYJU‘S free classes today!

A ∝ bh

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

A ∝ 2bh

No worries! We‘ve got your back. Try BYJU‘S free classes today!

A ∝ b/h

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B
A ∝ bh

This is a joint variation.

The area of a triangle depends upon both the base and the height.

Therefore, A ∝ bh

Suggest Corrections

Similar questions

Q. The area of a triangle varies as its base and height. The area of a triangle having base 6 cm. and height 4 cm is 12sq.cm. Find the height of the triangle whose base is 8 cm and area is 36 sq.cm

The base and the height of a triangle are in the ratio 4 : 5. If the area of the triangle is 40 $m^{2}$ ; find its base and height.

Let base be 4x m and height be 5x m.

$∴ \frac{1}{2} \times 4 x \times 5 x = 40.$

Let the base of the triangle be b. Let the height (altitude) be h. Then the area (A) of that triangle varies as :

The area of a triangle with base $b$ and height $h$ is given by $\frac{1}{2} b h$ . Find the area of the triangle whose $b a s e = 5 c m, h e i g h t = 12 c m$

Q. Using the method of integration show that the area of triangle of base

b

and altitude

h

\frac{1}{2} b h

Join BYJU'S Learning Program

Let the base of the triangle be b. Let the height (altitude) be h. Then the area (A) of that triangle varies as :

The correct option is B A ∝ bh This is a joint variation. The area of a triangle depends upon both the base and the height. Therefore, A ∝ bh

The correct option is B
A ∝ bh

This is a joint variation.

The area of a triangle depends upon both the base and the height.

Therefore, A ∝ bh