Right triangle practice problems - page 9 of 86
Number of problems found: 1712
- Tree shadow 3
A 2-meter rod casts a shadow 3.2 m long. How high is a tree with a shadow of 14.4 m? - Satin
Sanusha buys a piece of satin 2.4 m wide. The diagonal length of the fabric is 4m. What is the length of the piece of satin? - Right angled triangle
The hypotenuse of a right triangle is 17 cm long. When we decrease the length of the legs by 3 cm, then decrease its hypotenuse by 4 cm. Find the size of its legs. - Straight 21243
The straight railway line has a gradient of 16 permille. What is the size of the pitch angle? - Isosceles 4741
The arm is five times longer than its base in an isosceles triangle. Calculate its interior angles. - Medians
Calculate the sides of a right triangle if the length of the medians to the legs are ta = 25 cm and tb=30 cm. - 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.
- Base of an isosceles triangle
Calculate the size of the base of an isosceles triangle; the height is 5 cm, and the arm's length is 6.5 cm. What is the perimeter of this triangle? - Obtuse angle
Line OH is the height of the triangle DOM, and line MN is the bisector of angle DMO. the Obtuse angle between the lines MN and OH is four times larger than the angle DMN. What size is the angle DMO? (see attached image) - Column
The vertical pole high 7 m tall broke, and its toe fell 4.7 m from the bottom of the pole. At what height above the ground does the pole break? - 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. - Centimeter 64224
A ladder leans against the wall. It touches the wall at the height of 340 cm, and its lower end is 160 cm away from the wall. How long is the ladder? Express the result to the nearest centimeter. - Right-angled 81150
In the right-angled triangle ABC (the right angle at vertex C), the angle ratio is α : β = 5 : 3. Calculate the sizes of these angles and convert them to degrees and minutes (e.g., 45°20') - Bridge across the river
The width of the river is 89 m. For terrain reasons, the bridge deviates from a common perpendicular to both banks by an angle of 12° 30 '. Calculate how many meters the bridge is longer than the river. - A missile
A missile is fired with a speed of 100 fps in a direction 30° above the horizontal. Determine the maximum height to which it rises. Fps foot per second.
- Medians in RT
The rectangular triangle ABC has a length of 10 cm and 24 cm. Points P, Q, and R are the centers of the sides of this triangle. The perimeter of the PQR triangle is: - The aspect ratio
The aspect ratio of the rectangular triangle is 13:12:5. Calculate the internal angles of the triangle. - The cable car
The cable car is 3,5 kilometers long and climbs at a 30 degrees angle. What is the altitude difference between the Upper and Lower stations? - Isosceles triangle
The leg of the isosceles triangle is 5 dm, and its height is 20 cm longer than the base. Calculate base length z. - Is right triangle
One angle of the triangle is 36°, and the remaining two are in the ratio of 3:5. Determine whether a triangle is a rectangular triangle.
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