Right triangle + angle - practice problems
Number of problems found: 540
- Triangle
Can an equilateral triangle have a right angle? - Euclid2
The ABC right triangle with a right angle at C is side a=29 and height v=17. Calculate the perimeter of the triangle. - Know one angle
In a right-angled triangle, the measure of an angle is 40°. Find the measure of other angles of the triangle in degrees. - Angle
Determine the size of the smallest internal angle of a right triangle which angles forming the successive members of the arithmetic sequence. - Hypotenuse 82331
Given a right triangle KLM with a right angle at M. What is the magnitude of the hypotenuse m if the magnitude of the normal to the hypotenuse m is 4? - Complementary angles 2
Two complementary angles are (x+4) and (2x - 7). Find the value of x. - Isosceles triangle
What are the angles of an isosceles triangle ABC if its base is long a=5 m and has an arm b=4 m? - Triangle
Calculate the area of the right triangle ΔABC if one leg is long 14 and its opposite angle is 59°. - Bisector 2
ABC is an isosceles triangle. While AB=AC, AX is the bisector of the angle ∢BAC meeting side BC at X. Prove that X is the midpoint of BC. - One side
One side is 36 long with a 15° incline. What is the height at the end of that side? - 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. - 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) - Acute angles
Sizes of acute angles in the right-angled triangle are in the ratio 1:3. What is the size of the larger of them? - Cosine
The point (3, 4) is on the terminal side of angle θ. cos θ = ... - 30-60-90
The longer leg of a 30°-60°-90° triangle measures 5. What is the length of the shorter leg? - Bisectors
As shown, in △ ABC, ∠C = 90°, AD bisects ∠BAC, DE⊥AB to E, BE = 2, BC = 6. Find the perimeter of triangle △ BDE. - Road
The angle of a straight road is approximately 12 degrees. Determine the percentage of this road. - It is rectangular?
The size of two of the angles in a triangle is α=110°, β=40°. Is it a right triangle? - Interior 39791
For the interior angles of a triangle, the angle β is twice as large, and the angle γ is three times larger than the angle α. Is this triangle right? - Determine 39503
In a right triangle, one acute angle is 20° smaller than the other. Determine the size of the interior angles in the triangle.
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