Right triangle practice problems - page 31 of 86
Number of problems found: 1716
- Perpendicular  73264   The perimeter of a right triangle is equal to 30 centimeters. Calculate the perpendicular b if a = 5 centimeters and c = 13 centimeters. A natural number expresses the length of the perpendicular b. The perimeter of a right triangle is equal to 30 centimeters. Calculate the perpendicular b if a = 5 centimeters and c = 13 centimeters. A natural number expresses the length of the perpendicular b.
- Calculate  46541   Calculate the perimeter and the area of a right triangle if a = 6 cm, b = 8 cm, c = 10 cm. Calculate the perimeter and the area of a right triangle if a = 6 cm, b = 8 cm, c = 10 cm.
- Calculate  6149  Find the area and perimeter of a square whose diagonal is 10 cm. Find the area and perimeter of a square whose diagonal is 10 cm.
- Catheti  One of the catheti of the right triangle has a length of 12 cm. At what distance from the center of the hypotenuse is another cathetus? One of the catheti of the right triangle has a length of 12 cm. At what distance from the center of the hypotenuse is another cathetus?
- Hypotenuse of ABC  In a right triangle ABC with hypotenuse c, the hypotenuse a = 6 cm and sin α = 3/5. What is the length of the hypotenuse b? In a right triangle ABC with hypotenuse c, the hypotenuse a = 6 cm and sin α = 3/5. What is the length of the hypotenuse b?
- Right-angled - legs  The lengths of legs are a = 7.2 cm and b = 10.4 cm in the right-angled triangle ABC. Calculate: a) lengths of the sections of the hypotenuse b) height to the hypotenuse c The lengths of legs are a = 7.2 cm and b = 10.4 cm in the right-angled triangle ABC. Calculate: a) lengths of the sections of the hypotenuse b) height to the hypotenuse c
- Isosceles triangle  Calculate the height of the isosceles triangle ABC with the base AB, AB = c = 10 cm, and the arms a = b = 13 cm long. Calculate the height of the isosceles triangle ABC with the base AB, AB = c = 10 cm, and the arms a = b = 13 cm long.
- Calculate  Calculate the height of an isosceles triangle with a base 37.8 mm long and an arm 23.1 mm long. Calculate the height of an isosceles triangle with a base 37.8 mm long and an arm 23.1 mm long.
- Is right-angled  Can a triangle with the sides of sqrt 3, sqrt 5, and sqrt 8 (√3, √5, and √8) be a right triangle? Can a triangle with the sides of sqrt 3, sqrt 5, and sqrt 8 (√3, √5, and √8) be a right triangle?
- Octagonal mat  The octagonal mat is formed from a square plate with a side of 40 cm so that every corner cuts the isosceles triangle with a leg of 3.6 cm. What is the area of one mat? The octagonal mat is formed from a square plate with a side of 40 cm so that every corner cuts the isosceles triangle with a leg of 3.6 cm. What is the area of one mat?
- Euclid 5  Calculate the length of remain sides of a right triangle ABC if a = 7 cm and height vc = 5 cm. Calculate the length of remain sides of a right triangle ABC if a = 7 cm and height vc = 5 cm.
- RTriangle 17  The hypotenuse of a right triangle is 17 cm. If you decrease both two legs by 3 cm, you will reduce the hypotenuse by 4 cm. Determine the length of these legs. The hypotenuse of a right triangle is 17 cm. If you decrease both two legs by 3 cm, you will reduce the hypotenuse by 4 cm. Determine the length of these legs.
- Right angled  We built a square with the same area as the right triangle with legs 17 cm and 17 cm. How long will be the side of the square? We built a square with the same area as the right triangle with legs 17 cm and 17 cm. How long will be the side of the square?
- Hypotenuse and height  In a right triangle is length of the hypotenuse c = 195 cm and height hc = 70 cm. Determine the length of both triangle legs. In a right triangle is length of the hypotenuse c = 195 cm and height hc = 70 cm. Determine the length of both triangle legs.
- Calculate 78714  Calculate the size of the base and side of an isosceles triangle if the side is 1 cm longer than the base and the height to the base is 2 cm shorter than the side. Calculate the size of the base and side of an isosceles triangle if the side is 1 cm longer than the base and the height to the base is 2 cm shorter than the side.
- Hypotenuse  3554   Calculate the hypotenuse length if you know the area of an isosceles right triangle that is 24.5 cm square. Calculate the hypotenuse length if you know the area of an isosceles right triangle that is 24.5 cm square.
- Vectors abs sum diff  The vectors a = (4,2), b = (- 2,1) are given. Calculate: a) |a+b|, b) |a|+|b|, c) |a-b|, d) |a|-|b|. The vectors a = (4,2), b = (- 2,1) are given. Calculate: a) |a+b|, b) |a|+|b|, c) |a-b|, d) |a|-|b|.
- Distance  - ladder  The double ladder has a height of 3 m. How high will it reach when we spread it at a distance of 1 m? The double ladder has a height of 3 m. How high will it reach when we spread it at a distance of 1 m?
- Windbreak  A tree at a height of 3 meters broke in the windbreak. Its peak fell 4.5 m from the tree. How tall was the tree? A tree at a height of 3 meters broke in the windbreak. Its peak fell 4.5 m from the tree. How tall was the tree?
- Ladder  The ladder has a length of 3.5 meters. It is leaning against the wall, so the bottom end is 2 meters from the wall. Find the height of the ladder. The ladder has a length of 3.5 meters. It is leaning against the wall, so the bottom end is 2 meters from the wall. Find the height of the ladder.
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