Triangle practice problems - page 5 of 125
Number of problems found: 2492
- A ladder 2
A ladder 10 m long reaches the window of a house 8 m above the ground. Find the distance of the foot of the ladder from the base of the wall.
- Find area 2
Find the area of the green region in the given picture. Dimensions are shown.
- Missing side length
Use the Pythagorean Theorem (a² + b²=c²) to find a unknown side length: a = 5; c = 13 ; b=?
- Rhombus 36
Rhombus ABCD with side 8 cm long has diagonal BD 11.3 cm long. Find angle DAB.
- Storage shed
Frank designed a net for a storage shed that he is going to construct out of metal. The design consists of a square base and four square sides, plus four triangular parts that make up the roof. A square base of 6 feet and four square sides, plus 4 feet of
- Equilateral RT
On a right triangle, side a is 12, and side b is 12. What is side c?
- One side 4
One side of a regular octagon is 12 inches. Find the apothem and its area.
- Revolving to cone
A triangle whose sides are 20 cm, 16 cm, and 12 cm is revolving around its greatest side as axis. What is the volume space it generates after a full revolution in cubic centimeters?
- ET inscribed circle
An equilateral triangle has been inscribed in a circle with a radius of 4 cm . Find the area of the shaded region.
- Minimum interior angle
What is the minimum interior angle possible for a regular polygon?
- Number of sides
Find the number of sides of a regular polygon whose each exterior angle has a measure of 45°.
- RT with rectangle
In the diagram, find the lengths h and b. One rectangle and one right triangle share one side. We know two angles and the length of the common side, as shown in the picture.
- Trigonometric fx
When an acute angle φ is in the standard position, its terminal side passes through point P (1,3). Find trigonometric functions of angle θ : sin φ, cos φ, tan φ, cotan φ.
- Grassland and goat
An unfenced grassland is a right triangle ABC with AB = 4m, BC = 8m, and AC as hypotenuse. A goat is tied to a 5-m long rope with its stake at point O, which is 2m from side AB and 2m from the prolongation of side BC through corner B. Then: 1. How far is
- Triangle 82
Triangle PQR has vertices located at (2, 2), (5, -4), and (-4, -1). What type of triangle is triangle PQR?
- The coordinates 3
The coordinates of two vertices of an equilateral triangle are (1,1) and (5,1). What are the coordinates of the third vertex?
- Parallelogram - angles
In a parallelogram ABCD, if angle alpha measures ∠A = 70°, find all the other angles.
- Angle and slope
Find the angle between the x-axis and the line joining the points (3, -1) and (4,-2) .
- Triangles - segments
How many triangles can be formed with segments measuring one and 2/3 mm one 3/4 mm and 2 1/2 mm
- Angle over circle
In the figure, O is the center of the circle and AB is tangent at B. If angle OAB is 28 degrees find angle AOB. Figure is not scaled.
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