Question

Find the length of the hypotenuse, c in this triangle.

Answer 1

The hypotenuse equals 50

Answer 2

`\boxed{Hypotenuse = 50}`

Explanation:

By applying Pythagoras theorem we can find hypotenuse of a right angle triangle.

Side of right angle triangle (a) = 48 cm

Side of right angle triangle (b) = 14 cm

Hypotenuse² = a² × b²

`{Hypotenuse}^(2) = {48}^(2) * {14}^(2) \\ \\ {Hypotenuse}^(2) = 2304 + 196 \\ \\ {Hypotenuse}^(2) = 2500 \\ \\ {Hypotenuse}^{ \cancel{2}} = {50}^{ \cancel{2}} \\ \\ Hypotenuse = 50`