# Triangle - math word problems

1. R triangle
Calculate the area of a right triangle whose longer leg is 6 dm shorter than the hypotenuse and 3 dm longer than the shorter leg.
2. River
Calculate how many promiles river Dunaj average falls, if on section long 957 km flowing water from 1454 m AMSL to 101 m AMSL.
3. Center
Calculate the coordinates of the center of gravity T [x, y] of triangle ABC; A[11,4] B[13,-7] C[-17,-18].
4. Sea
How far can you see from the ship's mast, whose peak is at 14 meters above sea level? (Earth's radius is 6370 km).
5. Mast
Mast has 13 m long shadow on a slope rising from the mast foot in the direction of the shadow angle at angle 13.3°. Determine the height of the mast, if the sun above the horizon is at angle 45°12'.
6. Felix
Calculate how much land saw Felix Baumgartner after jump from 32 km above ground. The radius of the Earth is R = 6378 km.
7. Common chord
Two circles with radius 17 cm and 20 cm are intersect at two points. Its common chord is long 27 cm. What is the distance of the centers of these circles?
8. Estate
Estate shaped rectangular trapezoid has bases long 34 m , 63 m and perpendicular arm 37 m. Calculate how long is its fence.
9. Triangle P2
Can triangle have two right angles?
10. Rectangle
In rectangle with sides, 6 and 3 mark the diagonal. What is the probability that a randomly selected point within the rectangle is closer to the diagonal than to any side of the rectangle?
11. Angle
Draw angle |∠ ABC| = 130° and built its axis. What angle is between axis angle and arm of angle?
12. Triangle
Prove whether you can construct a triangle ABC, if a=9 cm, b=6 cm, c=10 cm.
13. Square
Calculate area of the square with diagonal 64 cm.
14. Height 2
Calculate the height of the equilateral triangle with side 38.
15. Circles 2
Calculate the area bounded by the circumscribed and inscribed circle in triangle with sides 12 cm, 14 cm, 18 cm.
16. Height
Is right that in any right triangle height is less or equal half of the hypotenuse?
17. Octagon
We have a square with side 84 cm. We cut the corners to make his octagon. What will be the side of the octagon?
18. Diagonal
Can a rhombus have the same length diagonal and side?
19. Center traverse
It is true that the middle traverse bisects the triangle?
20. Diagonal
Can be a diagonal of diamond twice longer than it side?

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