Home
Class 10
MATHS
Theorem 6.8 : In a right triangle, the s...

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.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • NCERT THEOREMS

    NCERT ENGLISH|Exercise THEOREM 10.1|2 Videos

  • NCERT THEOREMS

    NCERT ENGLISH|Exercise THEOREM 1.3|1 Videos

  • INTRODUCTION TO TRIGONOMETRY

    NCERT ENGLISH|Exercise EXERCISE 8.3|7 Videos

  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    NCERT ENGLISH|Exercise EXERCISE 3.7|8 Videos

Similar Questions

Explore conceptually related problems

(Pythagoras's Theorem) Prove by vector method that in a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

(Pythagoras's Theorem) Prove by vector method that in a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

(Pythagoras’s Theorem) Prove by vector method that in a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

PYTHAGORAS THEOREM : In a Right angled triangle; the square of hypotenuse is equal to the sum of the squares of the other two sides.

Fill in the balnks : (i) In a right triangle, the square of the hypotenuse is equal to the……….of the square of the other two sides. (ii) If the square of one side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is......... (iii) Of all the line segments that can be drawn to a given line form a given point outside it, the.............is the shortest.

Prove that in a triangle, if the square of one side is equal to the sum of the squares of the other two sides, then the angles opposite to the first side is a right angle.

Prove that in a triangle if the square of one side is equal to the sum of the squares of the other two side then the angle opposite to the first side is a right angle.

Equilateral triangles are drawn on the sides of a right triangle. Show that the area of the triangle on the hypotenuse is equal to the sum of the areas of triangles on the other two sides.

Equilateral triangles are drawn on the sides of a right triangle. Show that the area of the triangle on the hypotenuse is equal to the sum of the areas of triangles on the other two sides.

In a right angled triangle, five times the square on the hypotenuse is equal to four times the sum of the squares on the medians drawn from the acute angles. Prove it.