Right triangle practice problems - page 6 of 84
Number of problems found: 1671
- Straight 30241
The straight road has a rise of 19%. How big is the pitch angle?
- 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?
- 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.
- Right triangle
A right triangle ABC is given, and c is a hypotenuse. Find the length of the sides a, b, the angle beta if c = 5 and angle alfa = A = 35 degrees.
- Uphill garden
I have a garden uphill, increasing from 0 to 4.5 m for a length of 25 m. How much is the climb in percent?
- 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?
- Road
A ratio of 1:15 gives the average climb of the road. By what angle does the road moderate climb?
- Proof PT
Can you easily prove Pythagoras' theorem using Euclidean theorems? If so, do it.
- Height 40911
At what height does the 15 m ladder touch the wall if its lower end is 2.5 m away from 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.
- Distance 8471
The double ladder has a height of 3 m. What height will it reach when we spread it at a distance of 1 m?
- Inequality 4434
The heel of height from the vertex C in the triangle ABC divides the side AB in the ratio 1:2. Prove that in the usual notation of the lengths of the sides of the triangle ABC, the inequality 3 | a-b | holds
- Calculate 2673
In triangle ABC, the height on the c side is 12 cm. Calculate the area of this triangle if a = 15 cm and b = 13 cm.
- 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.
- Horizontal distance
The road has a gradient of 8%. How many meters will it rise over a horizontal distance of 400m?
- 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?
- Is right triangle or not
If the right triangle is ABC, it has sides a=13, b=11.5, and c=22.5. Find area.
- Triangle ABC
Triangle ABC has side lengths m-1, m-2, and m-3. What has to be m to be a triangle a) rectangular b) acute-angled?
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