Right triangle practice problems - page 30 of 86
Number of problems found: 1716
- Isosceles right triangle
If the square of the hypotenuse of an isosceles right triangle is 128 cm2, find the length of each side.
- The storm
After the storm, the top of the 5 m high mast deviated by 1 m from the original vertical axis. What is the peak now? Round to 2 decimal places.
- AP RT triangle
The length of the sides of a right triangle forms an arithmetic progression, and the longer leg is 24 cm long. What are the perimeter and area?
- Perpendiculars 66274
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?
- Distance 7717
To what height does a 6.5 m long ladder leaning against a wall at a distance of 5.4 m reach?
- 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.
- 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.
- Height - the ladder
At what height does the 15 m ladder touch the wall if its lower end is 2.5 m away from it?
- 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?
- Equilateral triangle
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.
- Right triangle
Right triangle ABC with side a = 10 and the area S = 50. Calculate the length of the remaining sides.
- Different points
Mark 4 different points O, P, R. S. Mark of line OP, OR, OS. Measure the marked lines.
- 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?
- Calculate 10691
Calculate the length of the side of a square whose diagonal has a length of 10 m.
- Height
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 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.
- Tangent of an angle
Suppose the tangent of an angle of a right-angled triangle is 0.8. Then its longest side is:
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