Triangle - math word problems
Draw a regular hexagon inscribed in a circle with radius r=8 cm. What is its perimeter?
Triangle KLM is given by plane coordinates of vertices: K[11, -10] L[10, 12] M[1, 3]. Calculate its area and its interior angles.
- Greatest angle
Calculate the greatest triangle angle with sides 197, 208, 299.
Average climb of the road is given by ratio 1:15. By what angle road average climb?
Are two right triangles similar to each other if the first one has a acute angle 70° and second one has acute angle 20°?
- SAS triangle
The triangle has two sides long 7 and 19 and included angle 36°. Calculate area of this triangle.
An isosceles triangle has two sides of length 7 km and 39 km. How long is a third side?
The outer angle of the triangle ABC at the vertex A is 114°12'. The outer angle at the vertex B is 139°18'. What size is the internal angle at the vertex C?
Calculate height of the equilateral triangle if its perimeter is 8?
Determine the radius of the circumscribed circle to the right triangle with legs 9 cm and 6 cm.
On the road sign, which informs the climb is 8.7%. Car goes 5 km along this road. What is the height difference that car went?
In ▵ ABC, if sin(α)=0.5 and sin(β)=0.6 calculate sin(γ)
- OK circle
Calculate the radius (circumradius) of the circle described right triangle with hypotenuse long 33 and one cathetus long 17.
The plane flies at altitude 6500 m. At the time of first measurement was to see the elevation angle of 21° and second measurement of the elevation angle of 46°. Calculate the distance the plane flew between the two measurements.
Circular reflector throws light cone with a vertex angle 49° and is on 33 m height tower. The axis of the light beam has with the axis of the tower angle 30°. What is the maximum length of the illuminated horizontal plane?
- It is rectangular?
Size of two of the angles in a triangle are: α=110°, β=40°. Is it a right triangle?
For how many integer values of x can 16, 15 and x be the lengths of the sides of triangle?
- Tetrahedral pyramid
What is the surface of a regular tetrahedral (four-sided) pyramid if the base edge a=16 and height v=16?
- Side c
In △ABC a=2, b=4 and ∠C=100°. Calculate length of the side c.
- Two boats
Two boats are located from a height of 150m above the surface of the lake at depth angles of 57° and 39°. Find the distance of both boats if the sighting device and both ships are in a plane perpendicular to the surface of the lake.
See also our trigonometric triangle calculator. See also more information on Wikipedia.