Home
Class 10
MATHS
If a perpendicular is drawn from the ver...

If a perpendicular is drawn from the vertex containing the right angle of a right triangle to the hypotenuse then prove that the triangle on each side of the perpendicular are similar to each other and to the original triangle. Also, prove that the square of the perpendicular is equal to the product of the lengths of the two parts of the hypotenuse.

Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    VK GLOBAL PUBLICATION|Exercise SELF ASSESSMENT TEST|10 Videos

  • TRIANGLES

    VK GLOBAL PUBLICATION|Exercise PROFICIENCY EXERCISE (SHORT ANSWER TYPE QUESTIONS-II)|39 Videos

  • REAL NUMBERS

    VK GLOBAL PUBLICATION|Exercise Self -Assessment Test|11 Videos

  • VALUE-BASED QUESTIONS

    VK GLOBAL PUBLICATION|Exercise Unit-VII : (Statistics & Probability)|8 Videos

Similar Questions

Explore conceptually related problems

Theorem 6.7 : If a perpendicular is drawn from the vertex of the right angle of a right triangle to the hypotenuse then triangles on both sides of the perpendicular are similar to the whole triangle and to each other.

Prove that the perpendiculars drawn from the vertices of equal angles of an isosceles triangle to the opposite sides are equal.

Show that in a right angled triangle,the hypotenuse is the longest side.

Prove that is a right angle triangle, the square of the hypotenuse is equal the sum of the squares of other two sides.

Theorem 6.8 : In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

In right angled triangle , the lengtj of the perpendicular sides are 15 cm and 8 cm . Find the length of its hypotenuse .