Question

Each leg of a 45-45-90 triangle measures 14 cm what is the length of the hypotenuse

Answer 1

ANSWER

The hypotenuse is 14√2 units.

EXPLANATION

Let the hypotenuse be x, then we can use the Pythagoras Theorem to find the length of the hypotenuse.

We have from the question that, each leg of the 45-45-90 triangle measures 14 cm.

Then, the Pythagorean Theorem, gives:

${x}^{2} = {14}^{2} + {14}^{2}$

${x}^{2} = 2 \times {14}^{2}$

Take positive square root to obtain;

$x = \sqrt{ {14}^{2} \times 2}$

This simplifies to

$x = 14 \sqrt{2}$

Answer 2

Answer:

14 square roots of 2 is correct

Step-by-step explanation: