makaylam082 makaylam082
  • 26-01-2022
  • Mathematics
contestada

What is the length of the longest side of a right triangle if the two shorter sides are 50 cm and 120 cm?

Respuesta :

ardnaskelapitt
ardnaskelapitt ardnaskelapitt
  • 26-01-2022

Answer:

130

Step-by-step explanation:

For this problem, we will apply the Pythagorean theorem which states:

a^2+b^2=c^2

*where a and b are short sides in the right triangle and c is the longest side or hypotenuse*

We are given that:

a=50

b=120

We can find the longest side c as:

a^2+b^2=c^2

50^2 +120^2=c^2

2500+14400=c^2

16900=c^2

c=130

We can conclude the length of the longest side is 130.

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