Question

Which of these four sets of side lengths will form a right triangle?

Set 1

4 cm, 5 cm, 6 cm

Set 2

8 in., 12 in., 20 in.

4 cm, Sem, 6 cm

10 mm, 2.emm, 30 mm

Set 4

Set 3

10 mm, 20 mm, 30 mm

12 t. Se f. 2017

12 ft, 16 ft, 20 ft

Answer 1

Set 4

Explanation:

Set 4 will form a right triangle

Answer 2

Set 4: 12 ft, 16 ft, 20 ft

Explanation:

A right angle triangle is a triangle in which one of the angles is a right angle (i.e 90°). The side opposite to the right angle is the longest side and is called the hypotenuse. The Pythagoras theorem for a right angle triangle states the the square of the hypotenuse is equal to the sum of the square of the remaining two sides.

For set 1:

4² + 5² = 16 + 25 = 41

6² = 36

6² ≠ 4² + 5²

It does not form a right triangle

For set 2:

8² + 12² = 64 + 144 = 208

20² = 400

20² ≠ 8² + 12²

It does not form a right triangle

For set 3:

10² + 20² = 100 + 400 = 500

30² = 900

30² ≠ 10² + 20²

It does not form a right triangle

For set 3:

12² + 16² = 144 + 256 = 400

20² = 400

20² = 12² + 16²

It forms a right triangle