An equilateral triangle is cut up into smalle | vedclass

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

Question

(C) Let the side of the original equilateral triangle be $x$.The area of the original triangle is given by $A = \frac{\sqrt{3}}{4} x^2$.The side of th

Vedclass · Accepted Answer

$36$

Vedclass · Answer

(C) Let the side of the original equilateral triangle be $x$.The area of the original triangle is given by $A = \frac{\sqrt{3}}{4} x^2$.The side of the smaller equilateral triangle is $\frac{x}{6}$.The area of one smaller equilateral triangle is $A_{small} = \frac{\sqrt{3}}{4} 	imes (\frac{x}{6})^2 = \frac{\sqrt{3}}{4} 	imes \frac{x^2}{36}$.The number of smaller triangles formed is the ratio of the original area to the area of one smaller triangle:Number of triangles $= \frac{A}{A_{small}} = \frac{\frac{\sqrt{3}}{4} x^2}{\frac{\sqrt{3}}{4} 	imes \frac{x^2}{36}} = 36$.

An equilateral triangle is cut up into smaller equilateral triangles with side $1/6$ of the original. Find the number of triangles thus formed?

Similar Questions

$A$ tank is $25 \ m$ long,$12 \ m$ wide and $6 \ m$ deep. The cost of plastering its walls and bottom at $75 \ paise/m^2$ is (in $Rs.$)

How many bricks,each measuring $25\, cm \times 15\, cm \times 8\, cm$,will be required to build a wall $10\, m \times 4\, dm \times 5\, m$ if $\frac{1}{10}$ of its volume is occupied by mortar?

The area of the largest circle that can be drawn inside a rectangle with sides $18 \, cm$ and $14 \, cm$ is (in $cm^2$):

The area of a sector of a circle of radius $5 \, cm$,formed by an arc of length $3.5 \, cm$,is ..... $cm^2$.

The perimeter of an isosceles triangle is $306\, m$ and each of the equal sides is $\frac{5}{8}$ of the base. Find the area.

Vedclass Test Series

Exam Paper Generator

Online Exam Module