McGraw Hill Integrated II, 2012
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McGraw Hill Integrated II, 2012 View details
5. The Triangle Inequality
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Exercise 59 Page 452

Consider the properties of equilateral triangles.

x=2
JK=KL=JL=14

Practice makes perfect

In the given figure, we see that the sides of the triangle are congruent.

We know that a triangle with three congruent sides is equilateral. Therefore, the side lengths are equal. 7x = 11x-8 = x+12 Let's solve this equation for x using the first equality.

7x = 11x-8
0 = 4x-8
8 = 4x
2 = x
x=2

Now, we are ready to find the measures of the unknown sides by substituting the value of x. Remember that the triangle is equilateral.

Side x=2 Measure
JK 7( 2) JK=14
KL 11( 2)-8 KL=14
JL 2+12 JL=14