Triangle practice problems - page 22 of 126
Number of problems found: 2502
- Sides ratio and angles
In triangle ABC, you know the ratio of side lengths a:b:c=3:4:6. Calculate the angle sizes of triangle ABC. - Apex of the Isosceles triangle
The angle at the apex of an isosceles triangle is 78°. The base is 28.5cm long. What is the shoulder length? - 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? - Triangle 75
Triangle ABC has angle C bisected and intersected AB at D. Angle A measures 20 degrees, and angle B measures 40 degrees. The question is to determine AB-AC if length AD=1. - Triangle perimeter ratio
The perimeter of the ABC triangle is 19.6 cm. The following applies to the lengths of its sides: a: c = 1:2, b: c = 5:6. Calculate the lengths of all sides of the triangle ABC. - The airplane
The airplane sights a runway at an angle of depression of 23°. It is flying at an altitude of 3 kilometers above the ground. What is the horizontal distance of the airplane from the airport? - 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? - Darnell
Darnell is mountain climbing with Kirk and has just climbed a 9-meter vertical rock face. Kirk is standing at the bottom of the cliff, looking up at Darnell. If Kirk is 15 meters away from Darnell, how far away from the cliff is Kirk standing? - The right triangle
In the right triangle ABC with a right angle at C, we know the side lengths AC = 9 cm and BC = 7 cm. Calculate the length of the remaining side of the triangle and the size of all angles. - Isosceles triangle
Calculate the size of the interior angles and the length of the base of the isosceles triangle if the arm's length is 17 cm and the height of the base is 12 cm. - Isosceles triangle 8
If the rate of the sides of an isosceles triangle is 7:6:7, find the base angle correct to the nearest degree. - The mast
We see the top of the pole at an angle of 45°. If we approach the pole by 10 m, we see the top of the pole at an angle of 60°. What is the height of the pole? - A truck
A truck departs from a distribution center. From there, it goes 20km west, 30km north and 10km west and reaches a shop. How can the truck reach back to the distribution center from the shop (what is the shortest path)? - Ratio of sides
The triangle has a circumference of 21 cm, and the length of its sides is in a ratio of 6:5:3. Find the length of the longest side of the triangle in cm. - ABCD
AC= 40cm , angle DAB=38 , angle DCB=58 , angle DBC=90 , DB is perpendicular on AC , find BD and AD - Triangle - is RT?
The triangle has a circumference of 90 cm. Side b is 1 cm longer than side c, and side c is 31 cm longer than side a. Calculate the length of the sides and determine whether a triangle is a right triangle. - Cosine
The point (3, 4) is on the terminal side of angle θ. cos θ = ... - Gon functions
Decide which numbers (values of trigonometric functions) are positive or negative (or zero). Positive mark +1 and negative -1. - Building
How high is the building that throws horizontal shadow 85.6 m long at angle 34°12'? - Cable car
The cable car rises at an angle of 44° and connects the upper and lower station with an altitude difference of 1089 m. How long is an "endless" tow rope?
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