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2 years ago

Identify the side lengths of the triangle.

Mathematics

1 answer:

TEA [102]2 years ago

4 0

The side lengths of the isosceles triangle are:

AO = 16 units

AB = 16 units

OB = 6 units.

<h3>What is an Isosceles Triangle?</h3>

An isosceles triangle is a type of triangles that has two sides that are congruent to each other, and two base angles that are opposite these two sides that are also congruent to each other.

<h3>How to Identify the Side lengths of the Triangle?</h3>

Referring to the isosceles triangle in the image attached below, we have the following:

One of the congruent sides = AO = 3x + 4 units

The other congruent side = AB = x + 12 units

The third side = OB = 4x - 10 units

Applying the definition of an isosceles triangle, we can create an equation as shown below to find x:

AO = AB [congruent sides]

Substitute

3x + 4 = x + 12

3x - x = - 4 + 12

2x = 8

2x/2 = 8/2

x = 4

Find the side lengths of the isosceles triangle by plugging in the value of x:

One of the congruent sides = AO = 3x + 4 = 3(4) + 4 = 16 units

The other congruent side = AB = x + 12 = 4 + 12 = 16 units

The third side = OB = 4x - 10 = 4(4) - 10 = 6 units.

Learn more about the isosceles triangle on:

brainly.com/question/11884412

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