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Solved Examples
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fff A triangle with an area of 27y in.2 is drawn such that its area is equal to the area of an equilateral triangle with each side measuring 18 in. What is the value of y?
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fff What is the area of ΔABC?
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fff In ΔABC, the base AB is 12 times its corresponding height. What is the measure of AB, if the area of the triangle is 25 square in.?
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fff A triangle with an area of 18y in.2 is drawn such that its area is equal to the area of an equilateral triangle with each side measuring 12 in. What is the value of y?
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fff In ΔABC, the base AB is 12 times its corresponding height. What is the measure of AB, if the area of the triangle is 9 square in.?
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fff The base of a triangle is 6 in. and its height = 12 x base. What is the area of the triangle?
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fff The perimeter of an isosceles triangle is 18 cm. The ratio of the lateral side to the base is 5 : 8. What is the area of the triangle?
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fff The area of a right triangle is 54 in.2 and the length of its hypotenuse is 15 in. What is the length of the shorter leg? fff View Solution
fff Find the area of the triangle, if its height is 4 feet and the length of its base is 8 feet. fff View Solution
fff What is the area of the right triangle in the figure, if AB = 4 in. and BC = 3 in.?
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fff What is the area of a right triangle whose base is 8 feet and hypotenuse is 10 feet? fff View Solution
fff What is the area of the triangle ACD, if ABC = ABD = 90o, CB = 6 in., BD = 7 in. and AB = 10 in.? fff View Solution
fff The figure ABCD is a rectangle with side BC equal to 8 cm. The diagonal of the rectangle, BD is equal to 10 cm. What is the area of the triangle BDC?
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fff The area of a right triangle is 8 ft.2 and its height is x ft. What is the area of the triangle, if its height is increased by 5 times? fff View Solution
fff What is the area of the triangle DCE, if the area of the square ABCD is 18 square miles?
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fff If the area of the rectangle ABCD is 16 square yards, then what is the area of the triangle DFC?
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fff The base is equal to its corresponding height in a triangle. Find the base length of the triangle, if its area is 50 in.2. fff View Solution
fff What is the area of the triangle PQR, if the area of the parallelogram ABCD is 30 square in.?
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fff The parallelogram ABCD and the triangle CDE have equal areas. What is the value of H, if h = 4 in.? fff View Solution
fff ABCD is a rectangle. What is the area of the shaded region, if DC measures 10 in. and BC measures 5 in.?
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fff What is the area of an equilateral triangle with side a and height h? fff View Solution
fff Find the area of the triangle, if its height is 3 feet and the length of its base is 8 feet. fff View Solution
fff What is the area of the right triangle in the figure, if AB = 8 in. and BC = 5 in.?
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fff What is the area of a right triangle whose base is 12 feet and hypotenuse is 15 feet? fff View Solution
fff What is the area of the triangle ACD, if ABC = ABD = 90o, CB = 5 in., BD = 6 in. and AB = 8 in.? fff View Solution
fff The figure ABCD is a rectangle with side BC equal to 4 cm. The diagonal of the rectangle, BD is equal to 5 cm. What is the area of the triangle BDC?
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fff The area of a right triangle is 6 in.2 and the length of its hypotenuse is 5 in. What is the length of the shorter leg? fff View Solution
fff The perimeter of an isosceles triangle is 36 cm. The ratio of the lateral side to the base is 10 : 16. What is the area of the triangle?
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fff The area of a right triangle is 11 ft.2 and its height is x ft. What is the area of the triangle, if its height is increased by 7 times? fff View Solution
fff What is the area of the triangle ABC in the figure?
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fff Which of the triangles in the figure have equal areas? fff View Solution
fff What is the area of the triangle DCE, if the area of the square ABCD is 45 square miles?
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fff If the area of the rectangle ABCD is 22 square yards, then what is the area of the triangle DFC?
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fff What is the area of the triangle ABD in the figure?
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fff The base of a triangle is 20 in. and its height = 14 x base. What is the area of the triangle?
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fff The base is equal to its corresponding height in a triangle. Find the base length of the triangle, if its area is 98 in.2. fff View Solution
fff What is the area of the triangle PQR, if the area of the parallelogram ABCD is 42 square in.?
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fff ABCD is a rectangle. Which of the triangles have equal areas?
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fff What is height of triangle DCB, if the area of triangle ADC is half the area of triangle DCB?
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fff The parallelogram ABCD and the triangle CDE have equal areas. What is the value of H, if h = 2 in.? fff View Solution
fff ABCD is a rectangle. What is the area of the shaded region, if DC measures 14 in. and BC measures 7 in.?
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fff If the perimeter of an isosceles triangle is 36 cm, and if the altitude to its base is 12 cm, what is the area of the triangle? fff View Solution
fff Which of the following needs to be calculated to find the number of floor tiles required to cover a bedroom floor? fff View Solution
fff Which of the following is required to find the size of paper needed to pack a box? fff View Solution