379,769 views
24 votes
24 votes
What the values of y and z make def = Sqr

What the values of y and z make def = Sqr-example-1
User Sarthak Mittal
by
3.0k points

1 Answer

26 votes
26 votes

The Hypotenuse-Leg Theorem states that two right triangles are congruent if and only if the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of the other right triangle.

Using this theorem in our problem, we get the following two equations


\begin{gathered} 8z=16z-24 \\ 12y-32=8y \end{gathered}

Solving the first equation we have


\begin{gathered} 8z=16z-24 \\ 8z-16z=16z-24-16z \\ -8z=-24 \\ 8z=24 \\ z=(24)/(8) \\ z=3 \end{gathered}

The value for z is 3.

Solving the second equation, we have


\begin{gathered} 12y-32=8y \\ 12y-32+32-8y=8y+32-8y \\ 4y=32 \\ y=(32)/(4) \\ y=8 \end{gathered}

The value for y is 8.

User Hangon
by
2.4k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.