Triangle practice problems - page 38 of 124
Number of problems found: 2479
- In a right-angled 17
In a right-angled triangle DEF with hypotenuse f = 12 cm, the interior angle at vertex D is 60°. What is the length of the side e?
- View angle
We see the tree on the opposite bank of the river at an angle of 15° from a distance of 41 meter from the river bank. From the bank of the river, we can see at an angle of 31°. How tall is the tree?
- Is right triangle
Find out if the triangle ABC (with right angle at the vertex C) is right if: a) a = 3dm, b = 40cm, c = 0.5m b) a = 8dm, b = 1.2m, c = 6dm
- 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?
- It is rectangular?
The size of two of the angles in a triangle is α=110°, β=40°. Is it a right triangle?
- Straight 30241
The straight road has a rise of 19%. How big is the pitch angle?
- Tram - safe downhill
What is the maximum angle at which the tram can go downhill to still be able to stop? The coefficient of shear friction is f =0.15.
- An angle of depression
The lighthouse sees a ship at an angle of depression of 25°. The observer from the lighthouse is 82 m above sea level. How far is the ship from the top of the lighthouse?
- 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.
- 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)
- 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?
- Cosine
The point (3, 4) is on the terminal side of angle θ. cos θ = ...
- 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
- The triangle
The triangle has sides 5 cm long, 5 cm, and 8 cm long. What is the area of the triangle?
- Right isosceles triangle
What can be the area of a right isosceles triangle with a side length of 8 cm?
- Complementary angles 2
Two complementary angles are (x+4) and (2x - 7). Find the value of x.
- Descent of road
The road sign informs us the gradient is 10.9%. Calculate the angle at which the average decreases.
- Perpendicular 83636
In a right-angled triangle, you know a drop of 7 meters and an angle of 30 degrees. Calculate the type of overhang; calculate both variants - the specified angle is opposite and adjacent to the specified perpendicular.
- Hypotenuse 80461
The ratios of the sides of a right triangle are 3: 4: 5. How long is the hypotenuse if the entire perimeter of the triangle is 48 cm?
- Kilometers 73344
How many meters will the track ascend if it is 200 kilometers long and the ascent is 7 per mille?
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See also our trigonometric triangle calculator. See also more information on Wikipedia.