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

Show that in a right triangle the hypotenuse is the longest side. GIVEN : A right triangle A B C in which /_A B C=90^0dot TO PROVE : Hypotenuse A C is the longest side, i.e. (i) A C > A B (ii) A C > B C

(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.

In a right angled triangle, the hypotenuse is four times as long as the perpendicular drawn to it from the opposite vertex. One of the acute angle is

Find the largest possible area of a right angled triangle whose hypotenuse is 5cm long.

Find the largest possible area of a right angled triangle whose hypotenuse is 5 cm long.

In a right-angled triangle, the square of the longest side is 625 sq. cm. if the length of the second side is 7 cm, find the length of the third side of the triangle.

Fill in the blanks to make the following statements true: In a right triangle the hypotenuse is the ...... side. The sum of three altitudes of a triangle is ......... than its perimeter. The sum of any two sides of a triangle is ......... than the third side. If two angles of a triangle are unequal, then the smaller angle has the ........... side opposite to it. Difference of any two sides of a triangle is ......... than the third side. If two sides of a triangle are unequal, then the larger side has ..... angle opposite to it.

Draw a right angled isosceles triangle whose hypotenuse is 5.2 cm long.