# 8.4.4. Corollaries of Isosceles Triangle Theorems

Given that the measure of the base angle of an isosceles triangle is one-fourth that of its vertex angle, determine the measure of the apex angle.

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In an isosceles triangle, the vertex angle's measure is three times that of a base angle. Find the measure of the base angle.

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The vertex angle of an isosceles triangle measures more than the base angle. Find the measure of the vertex angle.

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The measure of a base angle of an isosceles triangle is more than twice the vertex angle. Find the measure of the base angle.

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Find .

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Given that cm, cm, and , find the length of .

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• Bcm
• Ccm
• Dcm
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Find .

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If has one axis of symmetry, and , find .

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Given that , , , and the point , determine the measure of .

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Find the length of and .

• Acm,
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• Ccm,
• Dcm,
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In the figure below, is a triangle, where , , cm, and cm. Find the area of .

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Given that , , and , find the length of and the area of .

• Acm, area of
• Bcm, area of
• Ccm, area of
• Dcm, area of
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Find .

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