Triangle practice problems - page 14 of 121
Number of problems found: 2418
- Horizontal distance
The road has a gradient of 8%. How many meters will it rise over a horizontal distance of 400m?
- Angle at the apex
In an isosceles triangle, the angle at the apex is 30° greater than the angle at the base. How big are the internal angles?
- Spruce height
How tall was the spruce that was cut at an altitude of 8m above the ground, and the top landed at a distance of 15m from the heel of the tree?
- Is right triangle or not
If the right triangle is ABC, it has sides a=13, b=11.5, and c=22.5. Find area.
- Interior angles
You know the size of the two interior angles of the triangle alpha = 40° and beta = 60°. Calculate the size of the third interior angle.
- A triangle
A triangle has one angle of 63.1°, and the other two are in the ratio of 2:5. What are the measurements of the two angles?
- Perimeter triangle
In the triangle ABC, there is a side c = 5cm and medians ta = 6cm (median to side a), tb = 4.5cm (median to side b). Find the perimeter of the triangle ABT (T = center of gravity).
- Angles of a triangle
In triangle ABC, the angle beta is 15° greater than the angle alpha. The remaining angle is 30° greater than the sum of the angles alpha and beta. Calculate the angles of a triangle.
- Triangle ABC
Triangle ABC has side lengths m-1, m-2, and m-3. What has to be m to be a triangle a) rectangular b) acute-angled?
- Arm-leg
Calculate the length of the base of an isosceles triangle with a circumference of 224 cm if the arm length is 68 cm.
- Calculate 83366
Calculate the side a of triangle ABC if we know va=8cm, b=16cm, vb=10cm.
- Calculate 82878
Calculate in degrees the size of the acute angle made by the hands of the clock at half past six.
- Calculate 82472
Calculate the interior angles of the triangle. The angle alpha is 16° greater than beta, and the angle gamma is 17° less than alpha.
- Circumference 31361
The lengths of the triangle sides are in the ratio of 3:5:7. Its circumference is 45 cm. Find its lengths.
- Perpendicular 24671
The right triangle has an area of 2304 cm2, and one perpendicular is 8 cm long. Express and calculate the second perpendicular.
- Calculate 8059
Calculate the magnitude of the third interior angle in triangle ABC when alpha = 30 °, beta = 60 °
- Vertically 7853
The storm broke the vertically growing spruce at 8 meters above the ground. The top fell to the bottom 6 meters from the spruce base. Find the original height of the spruce.
- Calculate 4424
Calculate the area of the triangle ABC if a = 10 cm, c = 8 cm, ta = 6 cm.
- In triangle 2
In triangle XYZ, if it measures angle X=40° and measures angle Y=75°. Which is the longest side of the triangle, and why?
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