Right triangle practice problems - page 5 of 86
Number of problems found: 1720
- Right isosceles triangle
What can be the area of a right isosceles triangle with a side length of 8 cm? - An angle
An angle x is opposite side AB which is 10, and side AC is 15, which is the hypotenuse side in triangle ABC. Calculate angle x. - 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.
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