Pythagorean theorem - math word problems - page 26 of 73
Number of problems found: 1453
- Diagonals in diamond
In the rhombus, a = 160 cm and alpha = 60 degrees are given. Calculate the length of the diagonals. - Rhombus IV
Calculate the length of the diagonals of the rhombus, whose sizes are in the ratio of 1:2 and a rhombus side is 35 cm. - Tiles
How much will you pay CZK for laying tiles in a square room with a diagonal of 8 m if 1 m² cost CZK 420? - Rectangle - desc circle
The length of the sides of the rectangle is at a ratio of 1:3. The circle's radius circumscribed to the rectangle is 10 cm. Calculate the rectangle's perimeter. - RT leg and perimeter
The right triangle ABC with hypotenuse c has the length of a leg a= 84 and the perimeter of the triangle o = 226. Calculate the size of the sides of the triangle ABC. - Silver medal
A circular silver medal with a diameter of 10 cm is an inscribed gold cross consisting of five equal squares. What is the area of the silver part? b) What is the area of the Golden Cross? - Again saw
We have a sculpture beam from the tree trunk with a rectangular cross-section with dimensions 91 mm and 87 mm. What is the trunk's smallest diameter? - Diagonals
Calculate the length of the rhombus's diagonals if its side is long 21 and one of its internal angles is 10°. - Road embankment
Road embankment has a cross-section shape of an isosceles trapezoid with bases 7 m and 10 m and 5 m long leg. How many cubic meters of soil is in an embankment length of 1198 meters? - Square 2
Points D[10,-8] and B[1,-10] are opposed vertices of the square ABCD. Calculate the area of the square ABCD. - 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) - Triangle circle length
A right-angled triangle ABC with sides 5 cm and 12 cm is described by circle k. Calculate the length of circle k in centimeters. When calculating, use π = 3, 14 and round the result to tenths. - Rectangle 35
Find the rectangle area when the diagonal is equal to 30 cm and the width is double the length. - Rhombus area
Calculate the area and height of the rhombic cover plate to which the following applies: d (BC) = 60 cm, angle BAD = 45 °, angle ADB = 90 °. - On a mass
The forces F1, and F2 with magnitudes of 40N act on a mass point M. Their resultant has a magnitude of 60N. Determine the angle that the forces F1 and F2 make. - Triangle height calculation
Hello, I have a problem calculating the height on side z in the general triangle XYZ, where z=4 cm, x=1.5 cm, and y=3.7 cm. It was assigned in 8th grade when discussing the Pythagorean theorem. Thank you. - Rectangle circle ratio
The lengths of the sides AB and AD of the rectangle ABCD are in the ratio 3:4. A circle k with a diameter of 10 cm describes a rectangle. Calculate the side lengths of a given rectangle. - Rectangular
Rectangular triangle KLM with right angle at vertex L, angle beta at vertex K, and angle alpha at vertex M. Angle at vertex M = 65°, side l = 17.5 cm. Use Pythagorean theorems and trigonometric functions to calculate the lengths of all sides and the angle - Garden diagonal length
The garden has a square shape, and its area is 8,100 m². It will be divided by a sidewalk connecting the two opposite garden peaks. How long will this trail be? - Right triangle - ratio
The lengths of the legs of the right triangle ABC are in ratio b = 2:3. The hypotenuse is 10 cm long. Calculate the lengths of the legs of that triangle.
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