Pythagorean theorem - math word problems - page 34 of 74
Number of problems found: 1468
- Area 4gon
Calculate the area of a parallelogram with two pairs of equal parallel sides of lengths 18 and 9, and interior angles of 45°, 135°,45°, 135°. - Segments on the hypotenuse
A right triangle ABC has a hypotenuse c = 26 cm. The altitude from C to the hypotenuse is h_c = 12 cm. What are the lengths of the two segments of the hypotenuse? What are the lengths of sides a and b? What are the angles at vertices A and B? - Chord 24
A chord of length t = r√2 divides a circle with radius r into two circular segments. What is the ratio of the areas of these two segments? - Spruce
A massive storm broke the top of a 15-metre spruce tree so that it remained hanging along the rest of the trunk. The tip of the broken top touched the ground 4.6 m from the base of the tree. At what height from the ground did the trunk break? - Five circles
On the line segment CD = 6, there are five circles with one radius at regular intervals. Find the lengths of the lines AD, AF, AG, BD, and CE. - Viewing angle
The observer sees a straight fence 60 m long at a viewing angle of 30°. It is 102 m away from one end of the enclosure. How far is the observer from the other end of the enclosure? - Compute 4
Compute the exact value of the triangle area with sides 14 mi, 12 mi, and 12 mi long. - Triangular pyramid
A regular tetrahedron is a triangular pyramid whose base and walls are identical equilateral triangles. Calculate the height of this body if the edge length is a = 8 cm. - Quarter circle
What is the radius of a circle inscribed in the quarter circle with a radius of 100 cm? - Laths
There are two laths in the garage opposite one another: one 2 meters long and the other 3 meters long. They fall against each other and lean against the opposite walls of the garage. Both laths touch at 70 cm above the garage floor. How wide is the garage - Right triangle trigonometrics
Calculate the size of the remaining sides and angles of a right triangle ABC if it is given: b = 10 cm; c = 20 cm; angle alpha = 60°, and the angle beta = 30° (use the Pythagorean theorem and functions sine, cosine, tangent, cotangent) - Pentagon
Calculate the length of a regular pentagon's side, circumference, and area, inscribed in a circle with a radius r = 6 cm. - Broken tree
The tree was 35 meters high. The tree broke at a height of 10 m above the ground. Top, but does not fall off. It is refuted on the ground. How far from the base of the tree lay its peak? - MO circles
George built the ABCD square with a 12 cm side. In this square, he scattered a quarter circle with a center at point B passing through point A and a semicircle l with a center at the center of the BC side and passed point B. He would still build a circle - Glass mosaic
How many dm² of glass is needed to produce 97 panes in the shape of a regular hexagon with a side length of 21 cm? Assume that 10% of the glass is wasted in cutting. - Heron backlaw
Calculate the length of the unknown side of a triangle with sides 39 and 38 and area 438.6. - Hypotenuse, euclid In a right-angled triangle, the hypotenuse has a length of 24 cm. The foot of the altitude to the hypotenuse divides it into two parts in a ratio of 2:4. What is the length of the altitude to the hypotenuse in cm? Calculate the perimeter of this right tri
- Tourist group distance
A group of tourists split up at the intersection of two perpendicular paths. One group walked at a speed of 5.3 km/h. Second group 4.1 km/h. How far were the two groups from each other after 1 h 25 min? - Trapezoid perimeter base
The isosceles trapezoid ABCD has an area of 36 cm². One of its bases is two times longer than the other. Height is 4 cm. Calculate the perimeter of the trapezoid. - Centre of the hypotenuse
The interior angles of the triangle ABC, alpha, beta, and gamma are in a ratio of 1:2:3. The longest side of the AB triangle is 30 cm long. Calculate the perimeter of the triangle CBS if S is the center of the side AB.
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