Triangle practice problems - page 39 of 125
Number of problems found: 2492
- 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? - Is right triangle
Decide if the triangle XYZ is rectangular: x = 4 m, y = 6 m, z = 4 m - 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? - Angle
Determine the size of the smallest internal angle of a right triangle which angles forming the successive members of the arithmetic sequence. - 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. - 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. - 30-60-90
The longer leg of a 30°-60°-90° triangle measures 5. What is the length of the shorter leg? - 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. - 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. - 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. - 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. - Iso triangle
An isosceles triangle with a base of 8 cm. Its circumference is 28 cm. Calculate the height of the triangle. - Broken tree
The tree is broken at 4 meters above the ground. The top of the tree touches the ground at a distance of 5 meters from the trunk. Calculate the original height of the tree. - 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? - Right triangle - legs
Calculate the area of a right-angled triangle ABC with a=15 cm, b=1.7 dm.
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