Answer:
11.31 cm
Step-by-step explanation:
Given : △BCD is a right triangle. The length of the hypotenuse is 18 cm. The length of one of the legs is 14 cm.
To Find :What is the length of the other leg?
Solution:
Hypotenuse = 18 cm
Length of One leg (perpendicular) = 14 cm
We will use Pythagorean theorem
[tex]Hypotenuse^{2} = Perpendicular^{2} +Base^{2}[/tex]
[tex]18^{2} = 14^{2} +Base^{2}[/tex]
[tex]18^{2} -14^{2} =Base^{2}[/tex]
[tex]324 -196 =Base^{2}[/tex]
[tex]128=Base^{2}[/tex]
[tex]\sqrt{128}=Base[/tex]
[tex]11.31=Base[/tex]
Hence the length of other leg is 11.31 cm
