Home
Class 10
MATHS
In a right-angled triangle, the area of ...

In a right-angled triangle, the area of a square drawn on the hypotenuse is equal to the `"…..............."` of the areas of the squares drawn on other two sides.

Answer

Step by step text solution for In a right-angled triangle, the area of a square drawn on the hypotenuse is equal to the "…..............." of the areas of the squares drawn on other two sides. by MATHS experts to help you in doubts & scoring excellent marks in Class 10 exams.

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • PYTHAGORAS THEOREM

    CALCUTTA BOOK HOUSE|Exercise EXAMPLE 3|4 Videos
  • PYTHAGORAS THEOREM

    CALCUTTA BOOK HOUSE|Exercise LONG-ANSWER TYPE QUESTION|38 Videos
  • PYTHAGORAS THEOREM

    CALCUTTA BOOK HOUSE|Exercise EXAMPLE 2|2 Videos
  • PROBLEMS RELATED TO DIFFERENT SOLIDS AND OBJECTS

    CALCUTTA BOOK HOUSE|Exercise Long - answer type questions (LA):|20 Videos
  • QUADRATIC EQUATION IN ONE VARIABLE

    CALCUTTA BOOK HOUSE|Exercise EXERCISE-1.5|40 Videos

Similar Questions

Explore conceptually related problems

Equilateral triangles are drawn on the three sides of a right angled 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.

Answer any one : If in a triangle, the area of the square drawn on one side is equal to the sum of the areas of the squares drawn on other two sides, then prove that the angle opposite to the first side will be a right angle.

Prove that if equilateral triangles are drawn on the sides of a right-angled triangles then the area of the equilateral triangle, drawn on the hypotenuse is equal to the sum of the areas of the other two equilateral triangals drawn on its other two sides.

If the area of the square drawn on any side of a triangle is equal to the sum of the areas of the squares drawn on the other two sides of the triangle ,then the triangle will be right-angled triangle, the opposite angle of the greatest side of which will be "......................" .

Prove that the sum of the areas of the squares drawn on the sides of a rhombus is equal to the sum of the areas of two squares drawn on the diagonals of the given square.

One of the two acute angles of a righ-angled triangle is twice the other.Prove that between the sides adjacent to the right angle, the area of the square drawn on the greater side is thrice the area of the square drawn on the smaller side.

A perpendicular AD is drawn on BC from the vertex A of the acute Delta ABC . Prove that AC^(2) = AB^(2) +BC^(2) -2BC.BD OR Prove that the square drawn on the opposite side of theacute angle of an acute triangle is equal to the areas of the sum of the squares drawn on its other two sides being subtracted by twice the area of the rectangle formed by one of its sides and the projection of the other side to this side.

Prove that the area of the square drawn on the diagonal of a square is twice the area of the given square.

A straight line forms a right angled triangle with the axes of coordinates . If the hypotenuse is 13 unit and the area of the triangle is 30 square unit , find the equation of the straight line.

A straight line forms a right angled triangle with the axes of coordinates . If the hypotenuse is 10 unit and the area of the triangle is 24 square unit , find the equation of the straight line.