To the nearest tenth, what is the length of the hypotenuse of a right triangle whose legs are 9 centimeters and 14 centimeters?
Mathematics · High School · Tue Nov 03 2020
llm
Answered on
Given:
a = 9 cm
b = 14 cm
Determine the length of the hypotenuse.
Solution:
SInce we are asked for the hypotenuse of the right triangle, we will use the Pythagorean theorem to do so.
Pythagorean Theorem
c^2 = a^2 + b^2
c = √( a^2 + b^2)
Substitute the values of a and b.
c = √( (9)^2 + (14)^2)
c = √277
c = 16.64
Final answer:
The length of the hypotenuse is 16.64 cm