This right triangle has one leg with a length of 45 units and a hypotenuse with a length of 75 units. What is the length of the

Question

3 years ago

13

other leg, b?

1 answer:

Nesterboy [21] · Answer 1 · 2022-03-01T23:18:56+03:00

The length of other leg is 60 units.

Step-by-step explanation:

Given,

Length of one leg = a = 45 units

Length of other leg = b

Length of hypotenuse = c = 75 units

Using pythagoras theorem

$a^2+b^2=c^2\\(45)^2+b^2=(75)^2\\2025+b^2=5625\\b^2=5625-2025\\b^2=3600$

Taking square root on both sides

$\sqrt{b^2}=\sqrt{3600}\\b=60\ units$

The length of other leg is 60 units.

Keywords: Pythagorean theorem, square root

Learn more about square root at:

#LearnwithBrainly