# Right triangle - math word problems

1. Circle
On the circle k with diameter |MN| = 61 J lies point J. Line |MJ|=22. Calculate the length of a segment JN.
3. Isosceles right triangle
Calculate the area of an isosceles right triangle whose perimeter is 377 cm.
4. Right triangle
Legs of the right triangle are in the ratio a:b = 2:8. The hypotenuse has a length of 87 cm. Calculate the perimeter and area of the triangle.
5. Glass mosaic
How many dm2 glass is nessesary to produc 97 slides of a regular 6-gon, whose side has length 21 cm? Assume that cutting glass waste is 10%.
6. Widescreen monitor
Computer business hit by a wave of widescreen monitors and televisions. Calculate the area of ​​the LCD monitor with a diagonal size 20 inches at ratio 4:3 and then 16:9 aspect ratio. Is buying widescreen monitors with same diagonal more advantageous th
7. RT - hypotenuse and altitude
Right triangle BTG has hypotenuse g=117 m and altitude to g is 54 m. How long are hypotenuse segments?
8. Tangents
To circle with a radius of 41 cm from the point R guided two tangents. The distance of both points of contact is 16 cm. Calculate the distance from point R and circle centre.
9. Rectangular trapezoid
How many inner right angles has a rectangular trapezoid?
10. Triangle ABC
Right triangle ABC with right angle at the C, |BC|=18, |AB|=33. Calculate the height of the triangle hAB to the side AB.
11. Floating barrel
Barrel (cylinder shape) floats on water, top of barrel is 8 dm above water and the width of surfaced barrel part is 23 dm. Barrel length is 24 dm. Calculate the volume of the barrel.
12. Kites
Boys run kite on a cable of 68 meters long. What is the kite altitude, if the angle from the horizontal plane is 72°?
Between cities A and B is route 13 km long of stúpanie average 7‰. Calculate the height difference of cities A and B.
14. Circle chord
What is the length d of the chord circle of diameter 51 mm, if the distance from the center circle is 19 mm?
15. Square diagonal
Calculate the length of the square diagonal if the perimeter is 476 cm.
16. Cube - angles
Calculate angle between the wall diagonal and cube base. Calculate the angle between the cube body diagonal and cube base.
17. Triangle SAS
Calculate the area and perimeter of the triangle, if the two sides are 51 cm and 110 cm long and angle them clamped is 130 °.
18. Rhombus
Calculate the perimeter and area of ​​a rhombus whose diagonals are 39 cm and 51 cm long.
19. Cube diagonal
Determine the length of the cube diagonal with edge 37 mm.
20. Square and circles
Square with sides 83 cm is circumscribed and inscribed with circles. Determine the radiuses of both circles.

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