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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

6. The Law of Sines and Law of Cosines

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Exercise 68 Page 679

Notice that the triangle is isosceles.

R(a,b)

Practice makes perfect

We are given the following triangle on a coordinate plane.

Notice that PR≅ RQ. This implies that △ PRQ is isosceles. Moreover, the altitude of the isosceles triangle divides the base into two equal parts. As a result, the x-coordinate of R is the same distance from P as Q. Now, to find the missing x-coordinate of R, let's find the midpoint of the base PQ.

The midpoint of the base PQ is (a,0).

In conclusion, the coordinates of R are ( a,b).

Subchapter links

Exercises p.674-679