Right triangle practice problems - page 5 of 86
Number of problems found: 1716
- Equilateral triangle
The equilateral triangle has a 23 cm long side. Calculate its area. - Bisectors
As shown, in △ ABC, ∠C = 90°, AD bisects ∠BAC, DE⊥AB to E, BE = 2, BC = 6. Find the perimeter of triangle △ BDE. - Angles ratio
The internal angles of a triangle are in ratio 1:4:5. What kind of triangle is it? (solve interior angles and write down and discuss) - Inequality triangle
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 | < c. - Isosceles triangle
What are the angles of an isosceles triangle ABC if its base is long a=7 m and has an arm b=9 m? - Road
The angle of a straight road is approximately 12 degrees. Determine the percentage of this road. - Triangle
Calculate the area of the right triangle ΔABC if one leg is long 12 and its opposite angle is 47°. - 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? - 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? - 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. - 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? - 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.
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