# Triangle - math word problems

- Hexagon

Draw a regular hexagon inscribed in a circle with radius r=8 cm. What is its perimeter? - Triangle

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. - Road

Average climb of the road is given by ratio 1:15. By what angle road average climb? - Similarity

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. - QuizQ

An isosceles triangle has two sides of length 7 km and 39 km. How long is a third side? - Angles

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? - Height

Calculate height of the equilateral triangle if its perimeter is 8? - Circumscribing

Determine the radius of the circumscribed circle to the right triangle with legs 9 cm and 6 cm. - Climb

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? - Sines

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. - Aircraft

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. - Reflector

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? - 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.

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See also our trigonometric triangle calculator. See also more information on Wikipedia.