Pythagorean theorem - math word problems - page 23 of 70
Number of problems found: 1397
- A goat
In the square garden of side (a), a goat is tied in the middle of one side. Calculate the length of the rope (r) so that the goat grazes exactly half the garden. If r = c * a, find the constant c.
- Rectangle
The length of the rectangle is in the ratio of 5:12, and the circumference is 238 cm. Calculate the length of the diagonal and the area of the rectangle.
- 6 regular polygon
A regular six-sided polygon has a side 5 cm long. Calculate its area. Compare how many more cm² (square centimeters) has a circle inscribed the 6-gon.
- The cellar
Mr. Novák has a cellar, and the cellar window in the chalet is a 0.6-meter square window. The window wishes to place an X-shaped grid in a square. He uses iron welded bars. Calculate the lengths of individual bars and the total length of the bars he has t
- Forces
Determine the resultant of two perpendicular forces F1 = 560 N and the second force 25% smaller.
- Rectangle - parallelogram
A rectangle is circumscribed by a circle with a radius of 5 cm. The short side of the rectangle measures 6 cm. Calculate the perimeter of a parallelogram ABCD, whose vertices are the midpoints of the sides of the rectangle.
- Round table
A round table with a diameter d = 105 cm is coated by a square tablecloth with a side length 121 cm. About how many cm is the higher center of the tablecloth than its corners?
- R Trapezium
Rectangular trapezium has bases 21 and 10 and area 92 cm². What is its perimeter?
- Trigonometric functions
In the right triangle is: tg α= frac(4) 2 Find the value of s and k: sin α= (s)/(√ 20) cos α= (k)/(√ 20)
- Isosceles right triangle
Calculate the area of an isosceles right triangle whose perimeter is 810 cm.
- Right-angled 82471
The lengths a = 7.2 cm and b = 10.4 cm are dropped in the right-angled triangle ABC. Do the math a) lengths of the sections of the hypotenuse b) height on the hypotenuse c
- Right-angled 79894
Mug's handle is in the shape of a right-angled triangle with a hypotenuse of 15.8 cm and a shorter overhang of 5 cm. How tall is a mug?
- Perpendiculars 66274
The perpendiculars of a right triangle have 30 cm and 40 cm lengths. What is the height of the triangle?
- Circle inscribed
There is a triangle ABC and a circle inscribed in this triangle with a radius of 15. Point T is the point of contact of the inscribed circle with the side BC. What is the area of the triangle ABC if | BT | = 25 a | TC | = 26?
- Circumference 7065
In an isosceles triangle, the base length is equal to 75% of the arm's length. If the circumference is 22 cm, determine the area of the triangle.
- Isosceles 5711
An isosceles triangle with a base length of 32 cm has an area of 480 cm². What's his perimeter?
- Diameter 5668
The span of the arc is 247 cm, and the height of the arc is 21.5 cm. What is the diameter of the circle?
- Rectangle 35
Find the rectangle area when the diagonal is equal to 30 cm and the width is double the length.
- Circumscribed 2671
The circle's radius circumscribed by the rectangle is 5 cm, and one side of the rectangle is 6 cm long. Calculate the length of the other side and the area of the rectangle.
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