Triangle practice problems - page 14 of 126
Number of problems found: 2520
- 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. - Circumference + sides
The lengths of the triangle sides are in the ratio of 3:5:7. Its circumference is 45 cm. Find its lengths. - 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. - Bisectors
As shown, in △ ABC, ∠C = 90°, AD bisects ∠BAC, DE⊥AB to E, BE = 2, BC = 6. Find the perimeter of triangle △ BDE. - Triangle exterior angle
The interior angles of the triangle are 108 degrees 45 minutes and 51 degrees 19 minutes. Calculate the outside angle at the third vertex. - The cable car
The cable car is 3,5 kilometers long and climbs at a 30 degrees angle. What is the altitude difference between the Upper and Lower stations? - One side
One side is 36 long with a 15° incline. What is the height at the end of that side? - Calculate 2
Calculate the largest angle of the triangle whose sides are 5.2 cm, 3.6 cm, and 2.1 cm - Spruce height
How tall was the spruce that was cut at an altitude of 8 m above the ground, and the top landed at a distance of 15 m from the heel of the tree? - Interior angles
You know the size of the two interior angles of the triangle alpha = 40° and beta = 60°. Calculate the size of the third interior angle. - Road
The angle of a straight road is approximately 12 degrees. Determine the percentage of this road. - Ladder slope
What is the slope of a ladder 6.2 m long and 5.12 m in height? - Isosceles triangle
Calculate the area and perimeter of an isosceles triangle ABC with base AB if a = 6 cm, c = 7 cm. - Circumference of isosceles tr.
In an isosceles triangle with a perimeter of 36 cm, the height at the base is 12 cm. Calculate the length of the arm of a given triangle. - Alfa beta gama
The triangle's interior angle beta is 10 degrees greater than the angle alpha, and the gamma angle is three times larger than the beta. Determine the size of the interior angles. - Internal angles Find the internal angles of the triangle ABC if the angle at the vertex C is twice the angle at B and the angle at the vertex B is 4 degrees smaller than the angle at vertex A.
- Triangle ABC
Triangle ABC has side lengths m − 1, m − 2, and m − 3. What must m be for the triangle to be: a) right-angled? b) acute-angled? - Internal angles
One interior angle of triangle JAR is 25°. The difference between the other two angles is 15°. Find the measures of these angles. - Sinus
Determine the smallest integer p for which the equation 3 sin x = p has no solution. - 3-bracket 3
Two angles of a triangle are 90° and 45°. Does the triangle have at least two equal sides?
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