Home
Class 10
MATHS
Prove that the area of an equilateral tr...

Prove that the area of an equilateral triangle descriped on a side of a right-angles isosceles triangle is half the area of the equilateral triangle, described on the hypotenuse.

Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER 11

    AGRAWAL PUBLICATION|Exercise EXERCISE|78 Videos
  • Sample paper 13

    AGRAWAL PUBLICATION|Exercise EXERCISE |30 Videos

Similar Questions

Explore conceptually related problems

Prove that the area of an equilateral triangle described on a side of a right-angled isosceles triangle is half the area of the equilateral triangle described on its hypotenuse.

Prove that the area of an equilateral triangle described on one side of a square is equal to half the area of the equilateral triangle described on one of its diagonals.

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

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

Find the area of an equilateral triangle of side 6 cm.

What is the area of an equilateral triangle with side 2cm?

What is the area of an equilateral triangle of side 10 cm?

AGRAWAL PUBLICATION-SAMPLE PAPER 12-EXERCISE
  1. Solve for x: x^4-20x^2+64 = 0.

    Text Solution

    |

  2. Solve for x and y : = (3a)/x-(2b)/y= -5 and a/x+(3b)/y= 2,x,y!= 0.

    Text Solution

    |

  3. Prove that the area of an equilateral triangle descriped on a side of ...

    Text Solution

    |

  4. If alpha and beta are zeros of a quadratic polynomial 4x^2+4x+1, then ...

    Text Solution

    |

  5. A farmer conects a pipe of internal diameter 20 cm from a canal into c...

    Text Solution

    |

  6. How many terms of the A.P. 9,17,25,….. Must be taken to give a sum of ...

    Text Solution

    |

  7. 5 books and 7 pens together cost Rs 79, whereas 7 books and 5 pens tog...

    Text Solution

    |

  8. The length of a rectangular plot is greater than thrice its breadth by...

    Text Solution

    |

  9. A tower is 50, high. Its shadow is x metres shorter, when the sun's al...

    Text Solution

    |

  10. A dice is thrown twice. What is the probability that 2 will not come u...

    Text Solution

    |

  11. A bag contains 5 red, 8 green and 7 white balls. One ball is drawn at ...

    Text Solution

    |

  12. Find th curved surface area of a right circular cone of height 15 cm a...

    Text Solution

    |

  13. The outer and inner diameters of a circular ring are 34 cm and 32 cm r...

    Text Solution

    |

  14. If 2 sin 2 theta = sqrt3, then find the vakue of theta.

    Text Solution

    |

  15. If sin A =1/2 , cos B = 1, 0< A, Ble pi/2, then find the value of cot(...

    Text Solution

    |

  16. Calculate the perimeter of a triangle XOY with vertices X(3,4), O(0,0)...

    Text Solution

    |

  17. If r =3 is a root of quadratic equation kr^2- kr-3= 0 then find the va...

    Text Solution

    |

  18. Find the degree of the polynomial (x+1) (x^2-x+x^4 -1).

    Text Solution

    |

  19. Can two numbers have 18 as their LCM? Give reason to explain your answ...

    Text Solution

    |

  20. Write the exponent of 3 in the prime factorisation of 1944.

    Text Solution

    |