GuessWhosBackBaby
contestada

2. Find the length of the missing leg of a right triangle given a leg of length 15 and a hypotenuse of length 17. Leave your answer in simplest radical form.
A. Sqrt255
B. 64
C. 8
D. 5Sqrt5

Please help! I will give brainliest to the correct answer.

Respuesta :

CrimsonTerror
The answer is C. 8. I squared the hypotenuse and the know side length before subtracting them to get 64 and then divided it to get the square root of 8.
JeanaShupp

Answer: C. 8


Step-by-step explanation:

Given: One leg of a right triangle = 15 units

and hypotenuse= 17 units

Let the missing leg of the right traingle be x.

Then by Pythagoras theorem, we have

[tex]17^2=x^2+15^2\\\Rightarrow289=x^2+225\\\Rightarrow\ x^2=289-225\\\Rightarrow\ x^2=64\\\Rightarrow\ x=\sqrt{64}\\\Rightarrow\ x=8[/tex]

Hence, the length of the missing leg is 8 units. Therefore, C is the right answer.

  • Pythagoras theorem says that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

Otras preguntas