Given:
In a right angle triangle, the measures of two legs are 5 ft and 5.6 ft. The measure of the hypotenuse is x.
To find:
The value of x.
Solution:
Pythagoras theorem: In a right angle triangle,
[tex](Hypotenuse)^2=(Base)^2+(Perpendicular)^2[/tex]
Using Pythagoras theorem, we get
[tex](x)^2=(5)^2+(5.6)^2[/tex]
[tex]x^2=25+31.36[/tex]
[tex]x^2=56.36[/tex]
Taking square root on both sides, we get
[tex]x=\sqrt{56.36}[/tex]
[tex]x=7.50733[/tex]
[tex]x\approx 7.5[/tex]
The measure of missing side is 7.5 ft. Therefore, the correct option is D.
