Geometry — practice questions, page 8
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QuestionG is the centroid of a triangle ABC whose area is 72 cm², and D is the midpoint of BC. What is the…QuestionTwo similar triangles have areas of 81 cm² and 144 cm². The altitude of the larger one is 10 cm.…QuestionIn triangle ABC, AB = 6 cm, AC = 3 cm and ∠BAC = 120°. The bisector of ∠A meets BC at D. How long…QuestionAn equilateral triangle ABC is inscribed in a circle. P is a point on the minor arc BC with PB = 3…QuestionTriangle ABC has AB = 13 cm, BC = 14 cm and CA = 15 cm. D is the point on BC with BD = 10 cm. How…QuestionA triangle has a base of 12 cm and a height of 8 cm. A square is drawn inside it with one side on…QuestionIn a right triangle ABC with the right angle at C, the altitude CD cuts the hypotenuse into AD = 9…QuestionPoints D and E lie on sides AB and AC of triangle ABC with AD : DB = 1 : 2 and AE : EC = 3 : 1.…QuestionD is a point on side BC of triangle ABC with BD : DC = 1 : 2, and E is the midpoint of AD. The…QuestionSide BC of triangle ABC is produced to D. The exterior angle ∠ACD is 112°, and ∠B is three-fourths…QuestionThe sides of a triangle are in the ratio 3 : 4 : 5 and its perimeter is 84 cm. What is its area?QuestionFrom a point P inside an equilateral triangle, the perpendicular distances to the three sides are…QuestionRavi, 1.5 m tall, walks straight away from the foot of a 6 m lamp post at 1.2 m per second. How…QuestionABC is a right triangle with ∠B = 90°, AC = 25 cm and AB = 20 cm. BD is the perpendicular from B…QuestionTriangle ABC has ∠B = 60°, AB = 8 cm and BC = 5 cm. What is the length of AC?QuestionIn triangle ABC, ∠A = 60°, BC = 7 cm and AB + AC = 13 cm. What is the area of the triangle?QuestionIn triangle ABC, BC = 12 cm and ∠A = 30°. What is the radius of the circle through A, B and C?QuestionABC is an equilateral triangle with side 6 cm, and D is the point on BC with BD = 2 cm. Find AD.QuestionIn triangle ABC, ∠A = 90°, AB = 6 cm and AC = 8 cm. The bisector of ∠A meets BC at D. How long is…
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