Question

A right triangle has one leg with a length of 48 and a hypotenuse with a length of 50. HELPPPPPP

Answer 1

14

Explanation:

The formula for finding the hypotenuse of a right triangle is a^2 + b^2 = c^2. A and B stand for the legs of the triangle while C is the hypotenuse of a right triangle. With this information, you can plug in the numbers into the formula to discover the length of C. You can plug in 48 for either A or B since it is the only leg you know the value of, and then you plug in 50 for C since you know it is the hypotenuse. So, you get 48^2 + b^2 = 50^2. Now to find the value of the unknown leg, b, you just simplify the equation. 48^2= 2304 and 50^2= 2500. So you get 2304 + b^2 = 2500. Then, to isolate b^2 you subtract 2304 from both sides of the equation. 2500-2304 equals 196, so you get b^2 = 196. Lastly, you square root both sides of this equation to get b = 14.

Answer 2

14 is the length of the missing side.

Explanation:

Use pythagorean theorem.

`48^(2)+b^(2)=50^(2)`

`2304+b^(2)=2500`

`\sqrt{b^(2)}=√(196)`

`b=14`