Question

The sides of a certain triangle are given below. Find, whether it is a right-triangle or not
16 cm, 20 cm and 12 cm

Answer 1

Step: Checking if the sides of triangle satisfy the Pythagoras theorem
Sides are 16 𝑐𝑚, 20 𝑐𝑚, 12 𝑐𝑚 with 20 𝑐𝑚 as the hypotenuse.

The given triangle will be a right-angled triangle, if it satisfies the Pythagoras theorem.

According to Pythagoras theorem,

$(Hypotenuse{)}^2$ = $(Perpendicular{)}^2$ + $(Base{)}^2$

$(20{)}^2$ = $(16{)}^2$ + $(12{)}^2$

400 = 256 + 144

400 = 400

Thus, LHS = RHS

Hence, the given triangle is a right-angled triangle.