Right triangle practice problems - page 30 of 86
Number of problems found: 1716
- Equilateral  2543   a) The perimeter of the equilateral triangle ABC is 63 cm. Calculate the side sizes of the triangle and its height. b) A right isosceles triangle has an area of 40.5 square meters. How big is his circuit? c) Calculate the square's area if the diagonal's s a) The perimeter of the equilateral triangle ABC is 63 cm. Calculate the side sizes of the triangle and its height. b) A right isosceles triangle has an area of 40.5 square meters. How big is his circuit? c) Calculate the square's area if the diagonal's s
- Calculate  Calculate the height to the base of the isosceles triangle ABC if the base length is c = 24cm and the arms have a length b = 13cm. Calculate the height to the base of the isosceles triangle ABC if the base length is c = 24cm and the arms have a length b = 13cm.
- Perpendicular  projections  In a right-angled triangle, the perpendicular projections of the legs on the hypotenuse have lengths of 3.1 cm and 6.3 cm. Calculate the perimeter of this triangle. Round the result to the nearest hundredth of a centimeter. In a right-angled triangle, the perpendicular projections of the legs on the hypotenuse have lengths of 3.1 cm and 6.3 cm. Calculate the perimeter of this triangle. Round the result to the nearest hundredth of a centimeter.
- The ladder  The ladder is 10 m long. The ladder is 8 m high. How many meters is the distant heel from the wall? The ladder is 10 m long. The ladder is 8 m high. How many meters is the distant heel from the wall?
- Ladder  The ladder, 10 meters long, stays against the wall so that its bottom edge is 6 meters away from the wall. What height does the ladder reach? The ladder, 10 meters long, stays against the wall so that its bottom edge is 6 meters away from the wall. What height does the ladder reach?
- Medians of isosceles triangle  The isosceles triangle has a base ABC |AB| = 16 cm and a 10 cm long arm. What is the length of the medians? The isosceles triangle has a base ABC |AB| = 16 cm and a 10 cm long arm. What is the length of the medians?
- RT 10  The area of the right triangle is 15 cm², and one of its catheti is a=7 cm. Calculate the perimeter of the triangle ABC. The area of the right triangle is 15 cm², and one of its catheti is a=7 cm. Calculate the perimeter of the triangle ABC.
- Without Euclid laws  Right triangle ABC with a right angle at the C has a=5 and hypotenuse c=22. Calculate the height h of this triangle without the use of Euclidean laws. Right triangle ABC with a right angle at the C has a=5 and hypotenuse c=22. Calculate the height h of this triangle without the use of Euclidean laws.
- Triangle and its heights  Calculate the length of the sides of the triangle ABC if va=13 cm, vb=15 cm and side b are 5 cm shorter than side a. Calculate the length of the sides of the triangle ABC if va=13 cm, vb=15 cm and side b are 5 cm shorter than side a.
- Right  isosceles  Calculate the area of the isosceles right triangle whose perimeter is 26 cm. Calculate the area of the isosceles right triangle whose perimeter is 26 cm.
- Square diagonal  Calculate the length of the diagonal of the square with side a = 11 cm. Calculate the length of the diagonal of the square with side a = 11 cm.
- R triangle  Calculate the right triangle area whose longer leg is 7 dm shorter than the hypotenuse and 10 dm longer than the shorter leg. Calculate the right triangle area whose longer leg is 7 dm shorter than the hypotenuse and 10 dm longer than the shorter leg.
- Calculation  18413   What is the length of the cathetus of an isosceles right triangle with an 8 cm long hypotenuse? Make calculations and procedures. What is the length of the cathetus of an isosceles right triangle with an 8 cm long hypotenuse? Make calculations and procedures.
- Vertically  7853   The storm broke the vertically growing spruce at 8 meters above the ground. The top fell to the bottom 6 meters from the spruce base. Find the original height of the spruce. The storm broke the vertically growing spruce at 8 meters above the ground. The top fell to the bottom 6 meters from the spruce base. Find the original height of the spruce.
- Calculate  7580   The isosceles triangle XYZ has a base of z = 10 cm. The angle to the base is the sum of the angles at the base. Calculate the area of the triangle XYZ. The isosceles triangle XYZ has a base of z = 10 cm. The angle to the base is the sum of the angles at the base. Calculate the area of the triangle XYZ.
- Calculate  ΔRST  In a right triangle RST with a right angle at the vertex T, we know the lengths of two sides: s = 7.8 cm and t = 13 cm; calculate the third side r. In a right triangle RST with a right angle at the vertex T, we know the lengths of two sides: s = 7.8 cm and t = 13 cm; calculate the third side r.
- Integer sides  A right triangle with an integer length of two sides has one leg √11 long. How long is its longest side? A right triangle with an integer length of two sides has one leg √11 long. How long is its longest side?
- Sides of the triangle  Calculate triangle sides where its area is S = 84 cm² and a = x, b = x + 1, xc = x + 2 Calculate triangle sides where its area is S = 84 cm² and a = x, b = x + 1, xc = x + 2
- Oil rig  The oil drilling rig is 23 meters in height and fixes the ropes, the ends of which are 10 meters away from the foot of the tower. How long are these ropes? The oil drilling rig is 23 meters in height and fixes the ropes, the ends of which are 10 meters away from the foot of the tower. How long are these ropes?
- Euclid3  Calculate the height and sides of the right triangle if one leg is a = 100 km and the section of hypotenuse adjacent to the second leg cb = 14 km. Calculate the height and sides of the right triangle if one leg is a = 100 km and the section of hypotenuse adjacent to the second leg cb = 14 km.
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