The Pythagorean theorem is the idea that the sum of the two legs which are both squared is equal to the hypotenuse's length squared.
*<em>look at the image I attached for a better explanation</em>
By looking at the picture, we are missing the leg's length, and by using the Pythagorean theorem, we get the equation

Thus the <u>missing side length is 12 cm</u>
Hope that helps!
Answer:
RQS = 63
PQR = 126
Step-by-step explanation:
because QS is an angle bisector, PQS =SQR and PQR = 2*PQS.
Answer:
Vertex is (-8, 4) not one of the answers offered!
Step-by-step explanation:
Factor -1/8 out of the first two terms. Leave a space inside parentheses in which to add a number.

Complete the square by squaring half the coefficient of <em>x </em>and adding it in the space.

Add 64 in the space you made, then compensate for that at the end of the expression by <u>subtracting</u> 

The x-coordinate of the vertex is the <u>opposite</u> of +8, the number inside the parentheses. The y-coordinate of the vertex is the number at the end of the expression.
V(-8, 4)
The origin is 0,0 the y axis is the line going up, the x axis is the line going like this — the top right is quadrant 1 the one below it is quadrant 2 the one beside that is quadrant 3 and the one above that is quadrant 4