Pythagorean theorem - high school - math problems

Number of problems found: 366

Acceleration 2
if a car traveling at a velocity of 80 m/s/south accelerated to a velocity of 100 m/s east in 5 seconds, what is the cars acceleration? using Pythagorean theorem
Laws
From which law follows directly the validity of Pythagoras' theorem in the right triangle? ?
Proof PT
Can you easily prove Pythagoras theorem using Euclidean theorems? If so, do it.
Add vector
Given that P = (5, 8) and Q = (6, 9), find the component form and magnitude of vector PQ.
Q-Exam
If tg α = 9.6, Calculating sin α, cos α, cotg α .
Euclid2
In right triangle ABC with right angle at C is given side a=27 and height v=12. Calculate the perimeter of the triangle.
ABS CN
Calculate the absolute value of complex number -15-29i.
Distance problem 2
A=(x,2x) B=(2x,1) Distance AB=√2, find value of x
Five-gon
Calculate the side a, the circumference and the area of the regular 5-angle if Rop = 6cm.
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|.
Distance
Calculate distance between two points X[18; 19] and W[20; 3].
Vector 7
Given vector OA(12,16) and vector OB(4,1). Find vector AB and vector |A|.
Three points
Three points A (-3;-5) B (9;-10) and C (2;k) . AB=AC What is value of k?
Distance
Wha is the distance between the origin and the point (18; 22)?
The mast
A 40 m high mast is secured in half by eight ropes of 25 m long. The ends of the ropes are equidistant from each other. Calculate this distance.
Airplane
Aviator sees part of the earth's surface with an area of 200,000 square kilometers. How high he flies?
Circle - AG
Find the coordinates of circle and its diameter if its equation is: ?
Trigonometric functions
In the right triangle is: ? Find the value of s and c: ? ?
Isosceles IV
In an isosceles triangle ABC is |AC| = |BC| = 13 and |AB| = 10. Calculate the radius of the inscribed (r) and described (R) circle.
Center
Calculate the coordinates of the circle center: ?