Right triangle practice problems - page 5 of 86
Number of problems found: 1716
- Descent of road
The road sign informs us the gradient is 10.9%. Calculate the angle at which the average decreases. - Perpendicular leg
Calculate the area of a right triangle whose longer perpendicular is six dm shorter than the hypotenuse and three dm longer than the shorter perpendicular. - The sides
The sides of a right triangle form an arithmetic sequence. The hypotenuse is 24 cm long. Determine the remaining sides of the triangle. - Probability
How probable is a randomly selected three-digit number divisible by five or seven? - The aspect ratio
The aspect ratio of the rectangular triangle is 13:12:5. Calculate the internal angles of the triangle. - Ladder slope
What is the slope of a ladder 6.2 m long and 5.12 m in height? - Is right triangle
Decide if the triangle XYZ is rectangular: x = 4 m, y = 6 m, z = 4 m - Double ladder
The double ladder shoulders should be 3 meters long. If the lower ends are 1.8 meters apart, what height will the upper top of the ladder reach? - Angle
Determine the size of the smallest internal angle of a right triangle which angles forming the successive members of the arithmetic sequence. - Right triangle ABC
Calculate the perimeter and area of a right triangle ABC. If you know the length of the legs, 4 cm, 5.5 cm, and 6.8 cm are the hypotenuse. - It is rectangular?
The size of two of the angles in a triangle is α=110°, β=40°. Is it a right triangle? - Proof PT
Can you easily prove Pythagoras' theorem using Euclidean theorems? If so, do it. - Determine 13541
The alpha angle is twice the beta angle, and the gamma angle is three times the beta angle. Determine the sizes of all interior angles of the alpha, beta, and gamma triangle ABC. - Right-angled 3511
In a right-angled triangle at vertex C, the alpha angle is 24 degrees smaller than the beta angle to determine the size of the triangle angles. - Base and legs
A right triangle has a base/legs/length of 12 cm, and the angle with the hypotenuse is 13 degrees. What is the length of the second hypotenuse? - In the 18
In the right triangle ABC, The hypotenuse AB = 15 cm, and B = 25 degrees. How long is BC to the nearest centimeter? - The staircase
The staircase has a total height of 3.6 m and forms an angle of 26° with the horizontal. Calculate the length of the whole staircase. - RT triangle and height
Calculate the remaining sides of the right triangle if we know side b = 4 cm long and height to side c h = 2.4 cm. - One side
One side is 36 long with a 15° incline. What is the height at the end of that side? - Spruce height
How tall was the spruce that was cut at an altitude of 8m above the ground, and the top landed at a distance of 15m from the heel of the tree?
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