In a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. If a=80 centimeters and b=60 centimeters, what is c? If necessary, round to the nearest tenth.

Question

c=
centimeters

Answer 1

c= 100 centimeters

Answer 2

how did u slove this

Answer 3

In a right triangle, the Pythagorean theorem states that the sum of the squares of the two legs is equal to the square of the hypotenuse. Mathematically, it can be written as:

a^2 + b^2 = c^2

Given that a=80 cm and b=60 cm, we can plug these values in to calculate c:

80^2 + 60^2 = c^2
6400 + 3600 = c^2
10000 = c^2

To solve for c, we take the square root of both sides:

c = √10000
c = 100 cm

So, the length of the hypotenuse c in this right triangle is 100 centimeters.