The triangle shown must be a right triangle if x= in
A) 8
B) 12
C) 16
D) 144

Answer:
The value of x is 12 in
Step-by-step explanation:
Given the right angled triangle having sides 5 in , 13 in and x in
We have to find the value of x.
By applying Pythagoras theorem, we get
[tex]Hypotenuse^{2} = Base^{2} + Perpendicular^{2}[/tex]
⇒ [tex]13^{2}=x^{2}+5^{2}[/tex]
⇒ [tex]169=25+x^{2}[/tex]
⇒ [tex]x^{2} = 144[/tex] ⇒ x=12 in
Hence, length of base is x in i.e 12 in