Right triangle practice problems - page 29 of 86
Number of problems found: 1716
- Perpendiculars  66274   The perpendiculars of a right triangle have 30 cm and 40 cm lengths. What is the height of the triangle? The perpendiculars of a right triangle have 30 cm and 40 cm lengths. What is the height of the triangle?
- Distance  64804   Dan is the square ABCD. At its diagonal AC lies point E. The distance AB is equal to the distance AE. What is the size of the EBC angle? Dan is the square ABCD. At its diagonal AC lies point E. The distance AB is equal to the distance AE. What is the size of the EBC angle?
- Legs and ratio  For the legs of a right triangle, a : b = 6:8. The hypotenuse has a length of 61 cm. Calculate the perimeter and area of this triangle. For the legs of a right triangle, a : b = 6:8. The hypotenuse has a length of 61 cm. Calculate the perimeter and area of this triangle.
- RT a-b-x  There is a right triangle with legs long a, b, and hypotenuse long x. Given that a = 6 cm and b = 9 cm, work out x. Give your answer as an exact surd. There is a right triangle with legs long a, b, and hypotenuse long x. Given that a = 6 cm and b = 9 cm, work out x. Give your answer as an exact surd.
- An equilateral  An equilateral triangle is inscribed in a square of side 1 unit long so that it has one common vertex with the square. What is the area of the inscribed triangle? An equilateral triangle is inscribed in a square of side 1 unit long so that it has one common vertex with the square. What is the area of the inscribed triangle?
- Equilateral triangle  A square is inscribed into an equilateral triangle with a side of 10 cm. Calculate the length of the square side. A square is inscribed into an equilateral triangle with a side of 10 cm. Calculate the length of the square side.
- The pole  A 4 m bullet supports the telegraph pole. It is at 3/4 of pole height, and the end is at a distance of 2.5 m from the pole post. Calculate the height of the telegraph pole. A 4 m bullet supports the telegraph pole. It is at 3/4 of pole height, and the end is at a distance of 2.5 m from the pole post. Calculate the height of the telegraph pole.
- Cableway  The cableway has a length of 1800 m. The horizontal distance between the upper and lower cable car station is 1600 m. Calculate how much meters altitude is higher upper station than at the base station. The cableway has a length of 1800 m. The horizontal distance between the upper and lower cable car station is 1600 m. Calculate how much meters altitude is higher upper station than at the base station.
- Triangle  63244   The area of the ABCD square in the picture is 36 cm². Points E and F are the centers of the square BC and CD sides. What is the area of the triangle AEF in cm²? The area of the ABCD square in the picture is 36 cm². Points E and F are the centers of the square BC and CD sides. What is the area of the triangle AEF in cm²?
- Calculate  27441   Calculate the length of the side of the square if the size of the diagonal u = 9.9 cm is entered. Calculate the length of the side of the square if the size of the diagonal u = 9.9 cm is entered.
- Height  Calculate the height of the equilateral triangle if its perimeter is 31. Calculate the height of the equilateral triangle if its perimeter is 31.
- Base and longest side  The base of a right-angled triangle is 10 centimeters, and the longest side is 26 centimeters. What is the area of the triangle? The base of a right-angled triangle is 10 centimeters, and the longest side is 26 centimeters. What is the area of the triangle?
- The right triangle  The right triangle ABC has a leg a = 36 cm and an area S = 540 cm². Calculate the length of the leg b and the median t2 to side b. The right triangle ABC has a leg a = 36 cm and an area S = 540 cm². Calculate the length of the leg b and the median t2 to side b.
- Alpha angle  Right triangle. Given: side c = 15.8 and angle alpha = 73°10'. Calculate side a, b, angle beta, and an area. Right triangle. Given: side c = 15.8 and angle alpha = 73°10'. Calculate side a, b, angle beta, and an area.
- Ladder  10 meters long ladder is leaning against the wall of the well, and its lower end is 1 meters from this wall. How high from the bottom of a well is the top edge of the ladder? 10 meters long ladder is leaning against the wall of the well, and its lower end is 1 meters from this wall. How high from the bottom of a well is the top edge of the ladder?
- Isosceles right triangle  Calculate the area of an isosceles right triangle whose perimeter is 810 cm. Calculate the area of an isosceles right triangle whose perimeter is 810 cm.
- Vertices of RT  Show that the points P1 (5,0), P2 (2,1) & P3 (4,7) are the vertices of a right triangle. Show that the points P1 (5,0), P2 (2,1) & P3 (4,7) are the vertices of a right triangle.
- Against 82851  A 3.4 m long ladder is leaning against a wall. Its lower end is 1.6 m away from the wall. At what height does the ladder touch the wall? A 3.4 m long ladder is leaning against a wall. Its lower end is 1.6 m away from the wall. At what height does the ladder touch the wall?
- Determine 82595  A ladder is 7 meters long and is leaning against a wall so that its lower end is 4 meters away from the wall. Determine how high the ladder reaches A ladder is 7 meters long and is leaning against a wall so that its lower end is 4 meters away from the wall. Determine how high the ladder reaches
- Arithmetic 80808  The lengths of the sides of a right triangle form the first 3 terms of the arithmetic sequence. Its area is 6 cm². Find length of its sides. The lengths of the sides of a right triangle form the first 3 terms of the arithmetic sequence. Its area is 6 cm². Find length of its sides.
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