Identify the side lengths of the triangle.
1 answer:
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.
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