# Triangle - math word problems

1. Area of RT 2 Calculate the area of right triangle whose legs have a length 5.8 cm and 5.8 cm.
2. Arc Calculate span of the arc, which is part of a circle with diameter d = 20 m and its height is 6 m.
3. Railways Railways climb 7.4 ‰. Calculate the height difference between two points on the railway distant 3539 meters.
4. RT and circles Solve right triangle if the radius of inscribed circle is r=9 and radius of circumscribed circle is R=23.
5. Square2 Side of the square is a = 6.2 cm, how long is its diagonal? I have homework. The cube has an edge 7 cm long and I must find wall and body diagonal.
7. Height UT How long is height in the equilateral triangle with a side b = 43?
8. Triangle Calculate the area of ​​the triangle ABC if b = c = 17 cm, R = 19 cm (R is the circumradius).
9. Hexagon Draw a regular hexagon inscribed in a circle with radius r=8 cm. What is its perimeter?
10. Square Rectangular square has side lengths 183 and 244 meters. How many meters will measure the path that leads straight diagonally from one corner to the other? Average climb of the road is given by ratio 1:15. By what angle road average climb?
12. 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.
13. Greatest angle Calculate the greatest triangle angle with sides 197, 208, 299.
14. 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°?
15. SAS triangle The triangle has two sides long 7 and 19 and included angle 36°. Calculate area of this triangle.
16. Prism Right angle prism, whose base is right triangle with leg a = 3 cm and hypotenuse c = 13 cm has same volume as a cube with an edge length of 3 dm. a) Determine the height of the prism b) Calculate the surface of the prism c) What percentage of the cub
17. Reverse Pythagorean theorem Given are lengths of the sides of the triangles. Decide which one is rectangular: Δ ABC: 77 dm, 85 dm, 36 dm ? Δ DEF: 55 dm, 82 dm, 61 dm ? Δ GHI: 24 mm, 25 mm, 7 mm ? Δ JKL: 32 dm, 51 dm, 82 dm ? Δ MNO: 51 dm, 45 dm, 24 dm
18. Vector Calculate length of the vector v⃗ = (9.75, 6.75, -6.5, -3.75, 2).
19. Segment Calculate the length of the segment AB, if the coordinates of the end vertices are A[10, -4] and B[5, 5].
20. 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?

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