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McGraw Hill Integrated II, 2012 View details

5. The Triangle Inequality

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Exercise 60 Page 452

Consider the properties of isosceles triangles.

x=9
AB=BC=23

Practice makes perfect

To find the value of the variable x and the unknown sides, note that the given triangle is a isosceles triangle. We know that this is a triangle with two congruent sides. By the markings on the sides of the triangle, we can see that AB≅BC.

If two sides of a triangle are congruent, then their measures are equal. AB =& BC ⇓ 2x-5=& 3x-4 Let's now solve the above equation to find the value of x.

2x+5 = 3x-4

▼

Solve for x

SubEqn

LHS-2x=RHS-2x

5 = x-4

AddEqn

LHS+4=RHS+4

9 = x

RearrangeEqn

Rearrange equation

x=9