Answer:
The value of x is [tex]\sqrt{89}[/tex]
Step-by-step explanation:
Given : A right angled triangle with base = 8 , perpendicular = 5
We have to find the value of x that is we have to find the length of hypotenuse.
Consider the given right angled triangle,
PYTHAGORAS THEOREM states that for a given right angle triangle the sum of square of base and perpendicular is equal to the square of hypotenuse.
Mathematically written as ,
[tex]H^2=B^2+P^2[/tex]
Here, B = 8 , P = 5
substitute, we have,
[tex]H^2=8^2+5^2[/tex]
Simplify, we have,
[tex]H^2=64+25[/tex]
[tex]H^2=89[/tex]
Taking square root both side, we have,
[tex]H=\sqrt{89}[/tex]
Thus, The value of x is [tex]\sqrt{89}[/tex]
