MATH SOLVE

5 months ago

Q:
# Miss Green tells you that a right triangle has a hypotenuse of 13 and a leg of 5 she asked you to find the other leg of the triangle what is your answer

Accepted Solution

A:

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.