If the area of a triangle whose base is 6, cm | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) The radius of the circle is $r = 6\, cm$.The area of the circle is given by the formula $A = \pi r^2$.$A = \pi 	imes (6)^2 = 36\pi\, cm^2$.Let th

Vedclass · Accepted Answer

$12\pi$

Vedclass · Answer

(C) The radius of the circle is $r = 6\, cm$.The area of the circle is given by the formula $A = \pi r^2$.$A = \pi 	imes (6)^2 = 36\pi\, cm^2$.Let the height of the triangle be $h\, cm$ and the base be $b = 6\, cm$.The area of the triangle is given by $\frac{1}{2} 	imes 	ext{base} 	imes 	ext{height}$.According to the problem,the area of the triangle is equal to the area of the circle:$\frac{1}{2} 	imes 6 	imes h = 36\pi$.$3 	imes h = 36\pi$.$h = \frac{36\pi}{3} = 12\pi\, cm$.

If the area of a triangle whose base is $6\, cm$ is equal to the area of a circle of radius $6\, cm$,then find the height of this triangle (in $cm$).

Similar Questions

What is the perimeter of an equilateral triangle whose area is $4 \sqrt{3} \text{ cm}^2$?

If the ratio of the areas of two squares is $9: 1$,then the ratio of their perimeters is

The sum of the areas of the $10$ squares,the lengths of whose sides are $20 \, cm, 21 \, cm, \ldots, 29 \, cm$ respectively is ...... $cm^2$.

The area of a triangle is $216 \, cm^{2}$ and its sides are in the ratio $3:4:5$. The perimeter of the triangle is ....... $cm$.

What is the cost of flooring a rectangular hall?
Statements:
$I.$ The length of the rectangle is $6 \ m$.
$II.$ The breadth of the rectangle is $2/3$ of its length.
$III.$ The cost of flooring an area of $1 \ m^2$ is ₹ $4500$. (Note: Corrected unit/value for logical consistency).

Vedclass Test Series

Exam Paper Generator

Online Exam Module