Triangle practice problems - page 13 of 121
Number of problems found: 2418
- Isosceles triangle
An isosceles triangle has an angle against the base that measures 55°. What is the size of the angle at the base of an isosceles triangle? (Calculation and procedure)
- 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.
- Uphill garden
I have a garden uphill, increasing from 0 to 4.5 m for a length of 25 m. How much is the climb in percent?
- 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?
- 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.
- Road
A ratio of 1:15 gives the average climb of the road. By what angle does the road moderate climb?
- Proof PT
Can you easily prove Pythagoras' theorem using Euclidean theorems? If so, do it.
- Calculate 71764
The angle at the base of an isosceles triangle is 18 ° larger than the angle at the central vertex. Calculate the size of the interior angles.
- Height 40911
At what height does the 15 m ladder touch the wall if its lower end is 2.5 m away from it?
- Circumference 20323
A triangle with sides a, b, and c whose circumference is 26 cm is true: ratio a:b is 4:3, and ratio b:c is 1:2. Find the lengths of the sides of this triangle.
- 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.
- Distance 8471
The double ladder has a height of 3 m. What height will it reach when we spread it at a distance of 1 m?
- Perimeter 5361
The sides of the triangle are a = 5.5 cm b = 3.7 cm c =? The perimeter of the triangle is 11.6 cm. Calculate the length of the side c.
- Inequality 4434
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 | holds
- Calculate 2673
In triangle ABC, the height on the c side is 12 cm. Calculate the area of this triangle if a = 15 cm and b = 13 cm.
- Triangle - perimeter
The perimeter of the triangle is 110 cm. Side a is 6 cm longer than side b and 8 cm shorter than side c. Determine the lengths of the sides of the triangle.
- The two
The two angles of a triangle are 78° and 82°. So, what is the measure of the remaining third angle?
- 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.
- RT triangle and height
Calculate the remaining sides of the right triangle if we know side b = 4 cm long and height to side c h = 2.4 cm.
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