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.

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.

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.

The sides of a right angled triangle are in A.P. ,' show that the sides of the triangle are proportional to the numbers 3,4,5

If the sides of right angled triangle are in G.P then the cosines of the acute angle of the triangle are-

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

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

If A is the area and 2s is the sum of the sides of a triangle, then

Prove that the area of a right-angled triangle of a given hypotenuse is maximum when the triangle is isosceles.

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.

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.