Question

Question 2 2. Find the missing length of the right triangle. 8 17 Your answer

Answer 1

To answer this question, we need to use the Pythagorean Theorem.

We have to find one of the legs of this right triangle. We have that the formula is:

`c^2=a^2+b^2`

Where:

1. c is the hypotenuse (the largest side of the triangle).

2. a and b are the sides of the triangle (legs in the case of the right triangle (one in which one angle is equal to 90 degrees).

Then, we have that the largest side is 17 ( c = 17), and one of the sides is 8 (a = 8). We need to find the other side.

Then, we have:

`c^2=a^2+b^2\Rightarrow c^2-a^2=b^2\Rightarrow b^2=c^2-a^2`

Now, substituting the values of c and a into the previous formula (to find b), we have:

`b^2=17^2-8^2\Rightarrow\sqrt[]{b^2}=\sqrt[]{289-64}\Rightarrow b=\sqrt[]{225}\Rightarrow b=15`

Therefore, the side b is equal to 15 units.

We can check this result if we use the Pythagorean Theorem again, in the following way:

`17^2=8^2+15^2\Rightarrow289=64+225\Rightarrow289=289`