We known that PR=QR. Why? Because the two triangles are congruent right triangles, which means that PR and QR are congruent. This means that they have the same length, or PR=QR.
We can substitute the values, 10n+2, and 6n+12, into this equation.
10n+2=6n+12. Subtract 6n from both sides, and 2 from both sides.
4n=10. Now divide by 4 on both sides to solve for n.
n=10/4. Simplify, and we get:
n=5/2, or n=2.5.
Hope this helped, thanks!
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