A right angle triangle has sides of 6cm and 9cm. What is the length of the hypothenuse?Question 20Answera.15 cmb.10.82 cmc.18 cmd.36 cme.117 cm

To find the length of the hypotenuse of a right angle triangle, we can use the Pythagorean theorem. This theorem states that in a right angle triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. This can be written as:

a² + b² = c²

where c represents the length of the hypotenuse, and a and b represent the lengths of the other two sides.

Given that the lengths of the two sides are 6cm and 9cm, we can substitute these values into the equation:

6² + 9² = c² 36 + 81 = c² 117 = c²

Taking the square root of both sides gives:

c = √117

Therefore, the length of the hypotenuse is √117 cm, or approximately 10.82 cm. So, the correct answer is b.10.82 cm.