The length of each side of an equilateral tri | vedclass

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

Question

(B) The area of an equilateral triangle is given by the formula: $	ext{Area} = \frac{\sqrt{3}}{4} 	imes (	ext{side})^2$.Given that the area is $9 \

Vedclass · Accepted Answer

$6$

Vedclass · Answer

(B) The area of an equilateral triangle is given by the formula: $	ext{Area} = \frac{\sqrt{3}}{4} 	imes (	ext{side})^2$.Given that the area is $9 \sqrt{3} 	ext{ cm}^2$,we set up the equation:$9 \sqrt{3} = \frac{\sqrt{3}}{4} 	imes (	ext{side})^2$.Dividing both sides by $\sqrt{3}$,we get:$9 = \frac{1}{4} 	imes (	ext{side})^2$.Multiplying both sides by $4$,we get:$(	ext{side})^2 = 36$.Taking the square root of both sides,we find:$	ext{side} = \sqrt{36} = 6 	ext{ cm}$.

The length of each side of an equilateral triangle having an area of $9 \sqrt{3} \text{ cm}^2$ is (in $\text{cm}$):

Similar Questions

$A$ rhombus-shaped sheet with a perimeter of $40 \, cm$ and one diagonal of $12 \, cm$ is printed on both sides at the rate of $Rs. \, 5$ per $cm^2$. Find the total cost of printing.

Calculate the area of the shaded region in the figure.

Write True or False and justify your answer.
If $a, b, c$ are the lengths of three sides of a triangle, then area of a triangle $= \sqrt{s(s-a)(s-b)(s-c)}$, where $s = \text{perimeter of triangle}$.

In Heron's formula,$s$ represents ............

Each side of an equilateral triangle measures $10\,cm$. Find the semi-perimeter of the triangle. (in $,cm$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module