Example 1 Find the Area of a Right Triangle Find the area of the right triangle. SOLUTION Use the formula for the area of a triangle. Substitute 10 for.

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Example 1 Find the Area of a Right Triangle Find the area of the right triangle. SOLUTION Use the formula for the area of a triangle. Substitute 10 for b and 6 for h. = 1 2 (10)(6) Substitute 10 for b and 6 for h. = 30 Simplify. ANSWER The triangle has an area of 30 square centimeters. Formula for the area of a triangle A = bhbh 1 2

Example 2 Find the Area of a Triangle = 1 2 (8)(5)(8)(5) Substitute 8 for b and 5 for h. = 20 Simplify. ANSWER The triangle has an area of 20 square feet. Find the area of the triangle. SOLUTION Formula for the area of a triangle A = bhbh 1 2

Example 3 Find the Height of a Triangle 78 = 13h Multiply each side by 2. ANSWER The triangle has a height of 6 inches. Find the height of the triangle, given that its area is 39 square inches. Substitute 39 for A and 13 for b. 1 2 (13)h 39 = 6 = h Divide each side by 13. SOLUTION Formula for the area of a triangle A = bhbh 1 2

Checkpoint Area of Triangles ANSWER 36 in. 2 In Exercises 1–3, find the area of the triangle. ANSWER 42 yd 2 ANSWER 12 in A triangle has an area of 84 square inches and a height of 14 inches. Find the base. ANSWER 120 cm 2