Question

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

Answer 1

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 $x$.

Now, putting the formula:

$(Hypotenuse)^{2}=(Leg1)^{2}+(Leg2)^{2}$

⇒ $13^{2} =5^{2} +x^{2}$

⇒$169=25+x^{2}$

⇒$169-25=x^{2}$

⇒$144=x^{2}$

Taking square root both sides

⇒$12=x$

⇒$x=12$.

Therefore, the other leg of the triangle is 12.