Home
Class 10
MATHS
Answer any One queation : Prove that, i...

Answer any One queation : Prove that, if a perpendicular is draw on the hypotenuse from the right angled triangle, two triangles so formed on the two sides of the perpendicular are each similar to the original triangle and also similar to each other.

Promotional Banner

Topper's Solved these Questions

  • HATI HIGH SCHOOL

    UNITED BOOK HOUSE|Exercise EXERCISE|55 Videos

  • HOOGHLY COLLIGIATE SCHOOL

    UNITED BOOK HOUSE|Exercise EXERCISE|55 Videos

Similar Questions

Explore conceptually related problems

Prove that in any right angled triangle is a perpendicular is drawn from right angular point on hypotenuse then the two triangles on both sides of this perpendicular are similar and each of them is similar to original traingle.

The perpendicular bisector of the three sides of a right - angled triangle intersect each other

PS is perpendicular on the hypotenuse QR of the right-angled triangle PQR . If QR=16cm and QS=9cm , then find the length of PQ .

Prove that the sum of the perpendiculars drawn from any interior point of an equilateral triangle to its sides then sum of three perpendiculars is equal to the altitude of the triangle.

The perpendicular bisectors of the three side of an acute triangle intersect each other

The length of the hypotenuse of a right angled triangle is a Find the lenghts of its other sides , so that the area of the triangle is maximum.

The hypotenuse of a right angled triangle has its ends at the points (1, 3) " and " (-4, 1) . Find an equation of the legs (perpendicular sides) of the triangle.

Using analytical method prove that the mid - point of the hypotenuse of a right angled triangle is equidistant from the three vertices .

The two sides adjacent to the right-angled triangle are 9 cm and 12 cm. Find the length of the perpendicular drawn from the vertex to the hypotenuse.

The length of the hypotenuse of a right angled triangle is a Find the lenghts of its other sides , so that the sum of the sides maximum ,

UNITED BOOK HOUSE-HINDU SCHOOL -EXERCISE
  1. If a alpha b and b alpha c then show that a^3b^3+b^3c^3+c^3a^3 alpha a...

    Text Solution

    |

  2. What should be added to each of a,b,c,d to make the sums proportional?

    Text Solution

    |

  3. If (x^2-yz)/a=(y^2-zx)/b=(z^2-xy)/c , show that (a+b+c)(x+y+z)=(ax+by...

    Text Solution

    |

  4. Answer any One queation : Prove that, if a perpendicular is draw on t...

    Text Solution

    |

  5. Prove that opposite angles of a cyclic quadrilateral are supplementary

    Text Solution

    |

  6. The radius of a circle is 8 cm. Calculate the length of a tangent draw...

    Text Solution

    |

  7. Two tangents AB and AC drawn from an external point A of a circle touc...

    Text Solution

    |

  8. Draw a triangle whose two side are 7.6 cm and 6 cm in length and the a...

    Text Solution

    |

  9. Geometrically find the value of sqrt(29).

    Text Solution

    |

  10. Find the values of (2 tan^2 30^@)/(1-tan^2 30^@)+sec^2 45^@-cot^2 45^@...

    Text Solution

    |

  11. If alpha+beta = 90^@, prove that sec^2 alpha+sec^2 beta = sec^2 alpha ...

    Text Solution

    |

  12. If sec theta+tan theta = x, prove that sin theta= (x^2-1)/(x^2+1)

    Text Solution

    |

  13. A man standing on a railway bridge 5sqrt3 meters high, observes the en...

    Text Solution

    |

  14. Two towers are situated at a distance of 120sqrt2 metre and the height...

    Text Solution

    |

  15. The length of the radius of cross section of a solid right circular ro...

    Text Solution

    |

  16. Length of radius and height of a right circular draw are 21 cm and 21 ...

    Text Solution

    |

  17. The length of two sides adjacent to right angle of a right angled tria...

    Text Solution

    |

  18. Calculate the mean of obtained marks of 64 students from the given dat...

    Text Solution

    |

  19. Find the median of the following data.

    Text Solution

    |

  20. Calculate the mode of the following data.

    Text Solution

    |