Right triangle practice problems - page 31 of 86
Number of problems found: 1716
- Alpha angle
Right triangle. Given: side c = 15.8 and angle alpha = 73°10'. Calculate side a, b, angle beta, and an area.
- Isosceles right triangle
Calculate the area of an isosceles right triangle whose perimeter is 810 cm.
- Triangle ABC
Right triangle ABC with right angle at the C, |BC|=19, |AB|=26. Calculate the height of the triangle hAB to the side AB.
- Vertices of RT
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?
- 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
- 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.
- 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
- Is right?
Is a triangle with sides 15, 66, and 68 right triangle?
- 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.
- 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.
- The ladder
The ladder is 10 m long. The ladder is 8 m high. How many meters is the distant heel from the wall?
- 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?
- 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.
- 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.
- 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.
- Right isosceles
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.
- 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.
- 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.
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