Triangle practice problems - page 38 of 125
Number of problems found: 2496
- 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? 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. 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. 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? 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? 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. If the right triangle is ABC, it has sides a=13, b=11.5, and c=22.5. Find area.
- 30-60-90  The longer leg of a 30°-60°-90° triangle measures 14. What is the length of the shorter leg? The longer leg of a 30°-60°-90° triangle measures 14. What is the length of the shorter leg?
- Euclid1  The right triangle ABC has hypotenuse c = 20 cm. How large sections cut height hc=9 cm on the hypotenuse c? The right triangle ABC has hypotenuse c = 20 cm. How large sections cut height hc=9 cm on the hypotenuse c?
- 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. 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. 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.
- 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. 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. 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? 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. 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? What is the slope of a ladder 6.2 m long and 5.12 m in height?
- 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? 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?
- 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. 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.
- Acute angles  Sizes of acute angles in the right-angled triangle are in the ratio 1:8. What is the size of the larger of them? Sizes of acute angles in the right-angled triangle are in the ratio 1:8. What is the size of the larger of them?
- It is rectangular?  The size of two of the angles in a triangle is α=110°, β=40°. Is it a right triangle? 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. Can you easily prove Pythagoras' theorem using Euclidean theorems? If so, do it.
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