Pythagorean theorem - math problems

Number of problems found: 759

Find radius
Find the radius of the circle using the Pythagorean theorem where a=9, b=r, c= 6+r
Area of a rectangle
Calculate a rectangle area with a diagonal of u = 12.5cm and a width of b = 3.5cm. Use the Pythagorean theorem.
Laws
From which law follows directly the validity of Pythagoras' theorem in the right triangle? ?
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
The rotating
The rotating cone has a height of 0.9 m and the diameter of the base is 7.2 dm. Calculate the surface of the cone. (Hint: use Pythagorean theorem for a side of cone)
Right triangle
It is given a right triangle angle alpha of 90 degrees beta angle of 55 degrees c = 10 cm use Pythagorean theorem to calculate sides a and b
Proof PT
Can you easily prove Pythagoras theorem using Euclidean theorems? If so, do it.
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)
ABS CN
Calculate the absolute value of complex number -15-29i.
Angles by cosine law
Calculate the size of the angles of the triangle ABC, if it is given by: a = 3 cm; b = 5 cm; c = 7 cm (use the sine and cosine theorem).
Height 2
Calculate the height of the equilateral triangle with side 27.
Square
Calculate the side of a square with a diagonal measurement 10 cm.
Add vector
Given that P = (5, 8) and Q = (6, 9), find the component form and magnitude of vector PQ.
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
Triangle
Can an equilateral triangle have a right angle?
Reverse Pythagorean theorem
Given are lengths of the sides of the triangles. Decide which one is rectangular: Δ ABC: 77 dm, 85 dm, 36 dm ... Δ DEF: 55 dm, 82 dm, 61 dm ... Δ GHI: 24 mm, 25 mm, 7 mm ... Δ JKL: 32 dm, 51 dm, 82 dm ... Δ MNO: 51 dm, 45 dm,
Height UT
How long is height in the equilateral triangle with a side b = 43?
Euclid2
In right triangle ABC with right angle at C is given side a=29 and height v=17. Calculate the perimeter of the triangle.
Q-Exam
If tg α = 9.6, Calculating sin α, cos α, cotg α .
Vector 7
Given vector OA(12,16) and vector OB(4,1). Find vector AB and vector |A|.