Home
Class 9
MATHS
The diagonal of a square is 10sqrt(3)cm ...

The diagonal of a square is `10sqrt(3)cm` and the area of an equilateral triangle is equal to the area of the square. If a square is constructed on any side of the triangle, then find its area.

Text Solution

Verified by Experts

The correct Answer is:
`200sqrt(3)" sq-cm "`
Promotional Banner

Topper's Solved these Questions

  • TRIANGLE

    CALCUTTA BOOK HOUSE|Exercise EXERCISE-1.1 (Short-answer type question :)|5 Videos
  • THEOREMS ON TRANSVERSAL AND MID-POINTS

    CALCUTTA BOOK HOUSE|Exercise Long answer|14 Videos

Similar Questions

Explore conceptually related problems

The side of a square is a and each of the sides of an equilateral triangle is a. Then the ratio of their areas is

An equilateral triangle of side 6 cm. Its area is :

The area of equilateral triangle is 25 sq-cm Find its perimeter.

The area of a square and an equilateral triangle are equal. If the diagonal of the square be 12sqrt(2)m, then find the area of the triangle.

The area of an equilateral triangle is 4sqrt(3)cm^(2). Then the of each of the sides of the triangle is

Prove that the area of the equilateral triangle described on the side of a square is half the area of the equilateral triangles described on its diagonal.

If the side of an equilateral triangle increases at the rate of sqrt(3) cm/s and its area at the rate of 12 cm^(2) /s, find the side of the triangle .

Prove that three times the square of any side of an equilateral triangle is equal to four times the square of the altitude.