x = 13
Solution:
The given triangle is a right angle triangle.
Base of the triangle = 5
Height of the triangle = 12
Hypotenuse of the triangle = x
Using Pythagoras theorem, find x:
[tex]\text {Hypotenuse}^{2}=\text {Base}^{2}+\text {Height}^{2}[/tex]
[tex]\Rightarrow x^2=5^2+12^2[/tex]
[tex]\Rightarrow x^2=25+144[/tex]
[tex]\Rightarrow x^2=169[/tex]
Taking square root on both sides, we get
[tex]\Rightarrow x=13[/tex]
Hence x = 13 is the correct answer.
