Pythagorean theorem - math word problems - page 19 of 73
Number of problems found: 1446
- Perpendicular 7712
Calculate the length of the shadow of a ladder 8 m long leaning against a 6 m high wall. (the sun shines perpendicular to the ladder - see picture). - Circumference 7615
The sides of the rectangle are in a ratio of 3:5. Its circumference is 48 cm. Calculate the length of its diagonal. - Circumference 7052
The trapezoid ABCD is given (AB || CD, AB perpendicular to AD). Calculate its circumference if | AB | = 20cm, | CD | = 15cm, | AD | = 12cm. Pythagorean theorem - Circumference 4003
Calculate the diagonal length of a rectangle whose length is 3 cm greater than its width and whose circumference is 18 centimeters. - Trapezoid - legs
Determine the trapezoid area with bases 84 and 47; the height is 4 shorter than its leg. - Calculate 3987
The diamond has an area of 94.24 square meters and one diagonal of 7.6 cm. Calculate the length of the second diagonal. - In a right-angled 17
In a right-angled triangle DEF with hypotenuse f = 12 cm, the interior angle at vertex D is 60°. What is the length of the side e? - Intersection + tangents
Given a circle with a radius r = 4 cm and a point A for which |AS| applies = 10 cm. Calculate the distance of point A from the intersection of the points of contact of the tangents drawn from point A to the circle. - Sides ratio and angles
In triangle ABC, you know the ratio of side lengths a:b:c=3:4:6. Calculate the angle sizes of triangle ABC. - Sin cos tan
If cos y = 0.8, 0° ≤ y ≤ 90°, find the value of (4 tan y) / (cos y-sin y) - Isosceles right triangle
If the square of the hypotenuse of an isosceles right triangle is 128 cm2, find the length of each side. - Parallelogram - angle alfa
In the parallelogram ABCD the length of sides are AB = 8, BC = 5, BD = 7. Calculate the magnitude of the angle α = ∠DAB (in degrees). - Perpendicular legs PT
In a right triangle, one leg is 5 cm longer than the other leg. The hypotenuse is 150 mm. Calculate the lengths of the legs. - The storm
After the storm, the top of the 5 m high mast deviated by 1 m from the original vertical axis. What is the peak now? Round to 2 decimal places. - Is right triangle
Find out if the triangle ABC (with right angle at the vertex C) is right if: a) a = 3dm, b = 40cm, c = 0.5m b) a = 8dm, b = 1.2m, c = 6dm - Two circles
Two circles with the same radius, r = 1, are given. The center of the second circle lies on the circumference of the first. What is the area of a square inscribed in the intersection of given circles? - AP RT triangle
The length of the sides of a right triangle forms an arithmetic progression, and the longer leg is 24 cm long. What are the perimeter and area? - Sum of squares
The sum of squares above the sides of the rectangular triangle is 900 cm². Calculate the area of the square over the triangle's hypotenuse. - Bamboo
At a certain height, the wind broke the bamboo high 32 feet, so the bamboo top reached the ground at a distance of 16 feet from the trunk. At what height from the ground was the bamboo broken? - Chord
It is given to a circle k(r=6 cm), and the points A and B such that |AB| = 8 cm lie on k. Calculate the distance of the center of circle S to the midpoint C of segment AB.
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