Pythagorean theorem + triangle - practice problems - page 39 of 60
Number of problems found: 1195
- Construct 5868
Construct a square if u-a = 1 - Determine 3586
Determine the size of the vectors u = (2,4) and v = (-3,3) - Distance problem
A=(x, x) B=(1,4) Distance AB=√5, find x; - Vertices of RT
Show that the points P1 (5,0), P2 (2,1) & P3 (4,7) are the vertices of a right triangle.
- Circumscribing
Find the radius of the circumscribed circle to the right triangle with legs 6 cm and 3 cm. - Vectors abs sum diff
The vectors a = (4,2), b = (- 2,1) are given. Calculate: a) |a+b|, b) |a|+|b|, c) |a-b|, d) |a|-|b|. - Medians and sides
Determine the size of a triangle KLM and the size of the medians in the triangle. K=(-5; -6), L=(7; -2), M=(5; 6). - Equation 81932
Write the general equation of a circle with point S(2;5) and point B(5;6) lying on this circle. - Segment
Calculate the segment AB's length if the coordinates of the end vertices are A[10, -4] and B[5, 5].
- Height
Is it true that the height is less or equal to half of the hypotenuse in any right triangle? - Distance problem 2
A=(x,2x) B=(2x,1) Distance AB=√2, find the value of x - Vector 7
Given vector OA(12,16) and vector OB(4,1). Find vector AB and vector |A|. - Equilateral cone
We pour so much water into a container with the shape of an equilateral cone, the base of which has a radius r = 6 cm, that one-third of the volume of the cone is filled. How high will the water reach if we turn the cone upside down? - Pentagonal pyramid
Find the volume and surface of a regular pentagonal pyramid with a base edge a = 12.8 cm and a height v = 32.1 cm.
- Top of the tower
The top of the tower has the shape of a regular hexagonal pyramid. The base edge has a length of 1.2 m. The pyramid height is 1.6 m. How many square meters of sheet metal are needed to cover the top of the tower if 15% extra sheet metal is needed for join - The base 2
The base diameter of a right cone is 16cm, and its slant height is 12cm. A. ) Find the perpendicular height of the cone to 1 decimal place. B. ) Find the volume of the cone, and convert it to 3 significant figures. Take pi =3.14 - A cylinder
A cylinder 108 cm high has a circumference of 24 cm. A string makes exactly six complete turns around the cylinder while its two ends touch the top and bottom. (forming a spiral around the cylinder). How long is the string in cm? - Billiard balls
A layer of ivory billiard balls radius of 6.35 cm is in the form of a square. The balls are arranged so that each ball is tangent to everyone adjacent to it. In the spaces between sets of 4 adjacent balls, other balls rest, equal in size to the original. - MO SK/CZ Z9–I–3
John had the ball that rolled into the pool and swam in the water. Its highest point was 2 cm above the surface. The diameter of the circle that marked the water level on the ball's surface was 8 cm. Find the diameter of John's ball.
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