Question

The Hypotenuse of Right angled triangle is 65 cm one of the sides containing the right angle is 33cm. find the length of the other Side perimeter and area of the triangle

Answer 1

According to Pythagoras theorem
(AC)^2 = (AB)^2 + (BC)^2
AB^2 = 65^2 - 33^2
= 3136
so, AB = √3136
= 56

so, perimeter = sum of all sides
= 65+33+56
= 154 cm

area = 1/2 × base × height
= 1/2 × 33 × 56
= 33 × 28
= 924 cm^2