Triangle practice problems - page 10 of 121
Number of problems found: 2417
- Triangle 3187
In a general triangle, the aspect ratio a: b = 2:3. What is the ratio of heights va: vb?
- One angle 2
One angle of a triangle measures 50°. The other two angles are in a ratio of 5:8. What are the measures of those two angles?
- 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.
- 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?
- The missing angle
Find the unknown angle in the triangle. Angles are: 95, 2x+15, x+3. What type of triangle is it?
- 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.
- Largest angle of the triangle
What is the largest angle of the triangle if the second angle is 10° greater than twice the first and the third is 30° smaller than the second?
- 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)
- 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.
- Moivre 2
Find the cube roots of 125(cos 288° + i sin 288°).
- 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 = ...
- Triangle radians
The size of two internal angles of a triangle ABC is α=6/18π and β=7/18π. Calculate the size of the third angle.
- Median
The median of the triangle NOP is away from vertex P 95 cm. Calculate the length of the median, which start at P.
- Successive 45281
The sizes of the interior angles of the triangle are in a successive ratio of 6:4:5 are these angles big?
- Different 42191
How many different triangles with vertices formed by points A, B, C, D, E, and F can we create?
- Ladder 35331
The ladder is 13 m long, and its lower part is 5 m away from the wall. How high does the ladder reach?
- The sides 3
The sides of an equilateral triangle are 9.4 cm, correct to the nearest decimal place. Work out the upper bound of the side of this triangle.
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