Question

a right triangle has a hypotenuse measuring 13 centimeters and one leg measuring 5 centimeters. What is the lenght in centimeteres , of the leg of the right triangle?

Answer 1

Answer:

12 cm

Step-by-step explanation:

So the Pythagorean Theorem states $a^{2} +b^{2} =c^{2}$

If we know what c and a are, we can solve for b by doing

$b = \sqrt{c^{2} - a^{2}}$

or

$b = \sqrt{{13^{2}-5^{2}}$

$b = \sqrt{144}$

$b = 12$