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Lesson 4-8 Example 4 4-8 The base of the solid figure is an isosceles triangle. Find the volume. Step 1Find the length of the base and the height of the triangle. Use the Pythagorean Theorem to find the height of the triangle.

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Lesson 4-8 Example 4 4-8 The base of the triangular prism is an isosceles triangle. The length of the base of the isosceles triangle is 24 centimeters. Therefore, the length of half the base is 24 ÷ 2 = 12. Substitute 12 for a and 13 for c in the Pythagorean Theorem. The base of the solid figure is an isosceles triangle. Find the volume.

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Lesson 4-8 Example 4 4-8 a 2 +b 2 =c 2 Use the formula. 12 2 +b 2 =13 2 Substitute the measure of each side. 144+b 2 =169Simplify the exponents. b 2 =25Subtract The base of the solid figure is an isosceles triangle. Find the volume.

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Lesson 4-8 Example 4 4-8 b=5Simplify the square roots. The base of the solid figure is an isosceles triangle. Find the volume. Take the square root of both sides.

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Lesson 4-8 Example 4 4-8 Step 2Find the area of the base of the triangular prism. Use the formula for the area of a triangle. Use the area of a triangle formula to find the area of the base. The base of the solid figure is an isosceles triangle. Find the volume.

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Lesson 4-8 Example 4 4-8 Substitute the base and height of the triangle. Multiply. The base of the solid figure is an isosceles triangle. Find the volume.

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Lesson 4-8 Example 4 4-8 Step 3Substitute the area of the base and the height into the formula for the volume. Then multiply. The base of the solid figure is an isosceles triangle. Find the volume.

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Lesson 4-8 Example 4 4-8 V = B × hUse the formula for the volume of a triangular prism. V 60 × 10 Substitute the area of the circle and the height of the prism. V 600Multiply. The volume of the triangular prism is about 600 cubic centimeters. The base of the solid figure is an isosceles triangle. Find the volume.

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