Pythagorean theorem - math word problems - page 32 of 74
Number of problems found: 1468
- Triangle Area and Perimeter
The area of a right triangle is 240 cm². Determine its circumference if the given lengths are suspended in a ratio of 5:12. - Garden path decrease
A new path is to lead through Mr. Milo's garden – diagonally. By what percentage of the area of the park will it decrease? The length is 23.8 m, the width is 16.7 m, and the road width is 6 m. - Circumscribed circle
In triangle ABC, we know a = 4 cm, b = 6 cm, γ = 60°. Calculate the area and radius of the inscribed and circumscribed circle. - Car intersection speed
Two cars started from the right-angled intersection of two roads. The first at a speed of 80 km/h and the second at a speed of 60 km/h. How fast are they moving away from each other? - Trapezoid plot area
The right trapezoidal plot has a basic length of 102 m and 86 m. The vertical arm is 63 m long. Calculate the plot’s area and the mesh consumption for its fencing. - Right triangle generator
Detective Harry Thomson found on the Internet a generator for the side lengths of right triangles. According to it: a = 2xy, b = x² − y², c = x² + y², where x and y are natural numbers and x > y. Is it a working generator? - Cosine
Cosine and sine theorem: Calculate all unknown values (sides and angles) of the triangle ABC. a = 20 cm; b = 15 cm; γ = 90°; c =? cm; α =? °; β =? ° - Ratio of squares
A circle is given, and a square is inscribed. The smaller square is inscribed in a circular arc formed by the square's side and the circle's arc. What is the ratio of the areas of the large and small squares? - Rake tree distance
Emma was raking leaves in the garden. During lunch, she leaned the 170 cm long rake against a tree, with the upper end reaching a height of 90 cm. How far from the tree was the bottom of the rake? Enter the result in whole centimeters. - Monkey spring distance
Two monkeys were sitting on a tree, one at the top and the other 10 cubits from the ground. Both wanted to drink from a spring that was 40 cubits away. One monkey jumped to the spring from the top and flew the same path as the other monkey. How long did t - Embankment Width Calculation
An embankment 7.5 m high should be built on the horizontal plane. The width of the upper surface of the embankment is 2.9 m, and the slope is 35 °. What will be the lower width of the embankment? - Diagonals of the rhombus
How long are the diagonals e, and f in the diamond if its side is 5 cm long and its area is 20 cm²? - The garden
The garden has the shape of a rectangular trapezium. The bases have lengths of 27 meters and 36 meters, and the trapezoid's height is 12 meters. Calculate how much a fence will cost this garden if one meter costs 1.5 €. - Diagonal
The rectangular ABCD trapeze, whose AD arm is perpendicular to the AB and CD bases, has an area of 15 cm². Bases have lengths AB = 6 cm and CD = 4 cm. Calculate the length of the AC diagonal. - Diamond angles
The diagonals in diamond KLMN are 10 cm and 6 cm long. Determine the angle size that the longer diagonal makes with the side of the diamond. - Triangle sides
Calculate the size of the sides and angles of the triangle ABC if you know vc = 28, α = 51°19', β = 67°38'. - Loonie
Loonie has three wooden sticks measuring 17 inches, 21 inches, and 25 inches. He lays them down to form a triangle. Find the measure of the angle enclosed by 17 inches and 21 inches. (Express answers to the nearest hundredths) (using the law of cosines) - Circle's chords
The circle has two chord lengths, 30 and 34 cm. The shorter chord is twice as far from the center as the longer one. Determine the radius of the circle. - IS trapezoid
Calculate the length of diagonal u and height v of isosceles trapezoid ABCD, whose bases have lengths a = |AB| = 37 cm, c = |CD| = 29 cm and legs b = d = |BC| = |AD| = 28 cm. - Circumscribed circle ABC
Triangle ABC, with sides a = 15 cm, b = 17.4 cm, and c = 21.6 cm, is circumscribed by a circle. Calculate the area of the segments determined by the sides of the triangle.
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