Understanding Isosceles Triangle Area Calculation

The video tutorial explains how to find the area of an isosceles triangle with sides of 10, 10, and 12 units. It involves drawing an altitude to determine the height, using the Pythagorean theorem to calculate the height, and then applying the formula for the area of a triangle. The process is broken down into clear steps, ensuring a comprehensive understanding of the method.

What are the side lengths of the isosceles triangle discussed in the video?

• 10, 10, 12

• 10, 12, 12

• 10, 10, 10

• 12, 12, 10

What is the role of the altitude in finding the area of a triangle?

• It is used to find the perimeter.

• It is used to find the height for area calculation.

• It is used to find the base.

• It is used to find the hypotenuse.

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CCSS.HSG.CO.C.9

How does the altitude affect the base of the isosceles triangle?

• It splits the base into two equal parts.

• It halves the base.

• It doubles the base.

• It does not affect the base.

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CCSS.HSG.SRT.D.11

Which theorem is used to find the height of the triangle?

• Pythagorean theorem

• Cosine rule

• Triangle inequality theorem

• Sine rule

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What is the length of the altitude found using the Pythagorean theorem?

• 12

• 10

• 8

• 6

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What is the formula used to calculate the area of the triangle?

• Base times height

• Half the base times the height

• Base plus height

• Base minus height

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CCSS.6.G.A.1

What is the base length used in the area calculation?

• 12

• 10

• 8

• 6

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CCSS.6.G.A.1

What is the calculated area of the isosceles triangle?

• 72 square units

• 48 square units

• 36 square units

• 60 square units

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CCSS.6.G.A.1

What is the final step in calculating the area of the triangle?

• Multiplying the base and height

• Subtracting the height from the base

• Dividing the product of base and height by 2

• Adding the base and height

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CCSS.6.G.A.1