How do you find the hypotenuse of a right triangle with legs measuring 5.2 cm and 7.8 cm respectively?

1 Answer
May 9, 2018

Answer:

The length of the hypotenuse is #"9.4 cm"#.

Explanation:

Use the Pythagorean theorem:

#c^2=a^2+b^2#,

where:

#c# is the hypotenuse, and #a="5.2 cm"# and #b="7.8 cm"#.

Plug the given values into the equation.

#c^2=("5.2 cm")^2 + ("7.8 cm")^2#

Simplify.

#c^2="27.04 cm"^2"+ 60.84 cm"^2"#

Simplify.

#c^2="87.88 cm"^2"#

Take the square root of both sides.

#c=sqrt("87.88 cm"^2")#

#c="9.4 cm"# (rounded to one decimal place)

The length of the hypotenuse is #"9.4 cm"#.