The maximum area of Delta ABC inscribed in a | vedclass

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

Question

(B) In $\Delta ABC$,the base $BC$ is the diameter of the semicircle.Given radius $r = 10 \, cm$,so the base $BC = 2r = 2 	imes 10 = 20 \, cm$.The max

Vedclass · Accepted Answer

$100$

Vedclass · Answer

(B) In $\Delta ABC$,the base $BC$ is the diameter of the semicircle.Given radius $r = 10 \, cm$,so the base $BC = 2r = 2 	imes 10 = 20 \, cm$.The maximum height of the triangle inscribed in a semicircle is equal to the radius of the semicircle.Therefore,the maximum height $OA = 10 \, cm$.The maximum area of $\Delta ABC = \frac{1}{2} 	imes 	ext{base} 	imes 	ext{maximum height}$.Area $= \frac{1}{2} 	imes 20 	imes 10 = 100 \, cm^2$.

The maximum area of $\Delta ABC$ inscribed in a semicircle with radius $10 \, cm$ is ....... $cm^2$.

Similar Questions

As shown in the diagram,rectangle $ABCD$ is inscribed in a circle. If $AB = 8 \, cm$ and $BC = 6 \, cm$,find the area of the shaded region in the diagram. $(\pi = 3.14)$ (in $cm^2$)

Areas of two circles are equal. Is it necessary that their circumferences are equal? Why?

The length of a diagonal of a square is $10$. Then,its area is......

If the circumference of a circle and the perimeter of a square are equal,then

If the radius of a circle is increased by $10 \%,$ its area will increase by $\ldots \ldots \ldots . \%$

Vedclass Test Series

Exam Paper Generator

Online Exam Module