Practice problems of the triangle - page 8 of 117
A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. The sum of the measures of the interior angles of a triangle is always 180 degrees. An exterior angle of a triangle is an angle that is a linear pair (and hence supplementary) to an interior angle. The best known area formula is T = a*h /2 where a is the length of the side of the triangle, and h is the height or altitude of the triangle.Number of problems found: 2330
- 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?
- One side
One side is 36 long with a 15° incline. What is the height at the end of that side? - 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°). - Euclid 5
Calculate the length of remain sides of a right triangle ABC if a = 7 cm and height vc = 5 cm. - 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 = ... - 30-60-90
The longer leg of a 30°-60°-90° triangle measures 5. What is the length of the shorter leg?
- 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?
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