# Triangle - math word problems

1. Triangle Can be rectangular triangle equilateral?
2. Axial section Axial section of the cone is an equilateral triangle with area 168 cm2. Calculate the volume of the cone.
3. Right triangle Right triangle ABC with side a = 19 and the area S = 95. Calculate the length of the remaining sides.
4. Euclid1 Right triangle has hypotenuse c = 27 cm. How large sections cuts height hc=3 cm on the hypotenuse c?
5. Euclid3 Calculate height and sides of the right triangle, if one leg is a = 81 cm and section of hypotenuse adjacent to the second leg cb = 39 cm.
6. Diagonal Determine the dimensions of the cuboid, if diagonal long 53 dm has angle with one edge 42° and with other edge 64°.
7. Cubes One cube is inscribed sphere and the other one described. Calculate difference of volumes of cubes, if the difference of surfaces in 257 mm2.
8. Right Determine angles of the right triangle with the hypotenuse c and legs a, b, if: ?
9. Rotation The right triangle with legs 11 cm and 18 cm rotate around the longer leg. Calculate the volume and surface area of the formed cone.
10. Right isosceles Calculate area of the isosceles right triangle which perimeter is 41 cm.
11. Square diagonal Calculate the length of diagonal of the square with side a = 23 cm.
12. Movement From the crossing of two perpendicular roads started two cyclists (each at different road). One runs at average speed 28 km/h, the second at average speed 24 km/h. Determine the distance between them after 45 minutes cycling.
13. Midpoints Triangle whose sides are midpoints of sides of triangle ABC has a perimeter 45. How long is perimeter of triangle ABC?
14. Cone A2V Surface of cone in the plane is a circular arc with central angle of 126° and area 415 cm2. Calculate the volume of a cone.
15. Pentagon Calculate the area of regular pentagon, which diagonal is u=17.
16. Forces In point O acts three orthogonal forces: F1 = 20 N, F2 = 7 N and F3 = 19 N. Determine the resultant of F and the angles between F and forces F1, F2 and F3.
17. Pyramid roof 2/4 of area of ​​the roof shaped regular tetrahedral pyramid with base edge 10 m and height of 4 m is already covered with roofing. How many square meters still needs to be covered?
18. Climb Road has climbing 1:27. How big is a angle corresponds to this climbing?
19. Gimli Glider Aircraft Boeing 767 lose both engines at 42000 feet. The plane captain maintain optimum gliding conditions. Every minute, lose 1910 feet and maintain constant speed 211 knots. Calculate how long it takes to plane from engine failure to hit the ground. C
20. Triangle Calculate the area of right triangle ΔABC, if one leg is long 14 and its opposite angle is 59°.

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