Answer:
The other leg of the triangle is 12.
Step-by-step explanation:
Given:
Hypotenuse of triangle is 13 and a leg(Leg1) is 5.
Let, the other leg of the triangle (Leg2) be [tex]x[/tex].
Now, putting the formula:
[tex](Hypotenuse)^{2}=(Leg1)^{2}+(Leg2)^{2}[/tex]
⇒ [tex]13^{2} =5^{2} +x^{2}[/tex]
⇒[tex]169=25+x^{2}[/tex]
⇒[tex]169-25=x^{2}[/tex]
⇒[tex]144=x^{2}[/tex]
Taking square root both sides
⇒[tex]12=x[/tex]
⇒[tex]x=12[/tex].
Therefore, the other leg of the triangle is 12.
the answer is 12. you have to use pythagorean theorem
hope this helps!!!
