Pythagorean theorem - math word problems

Number of problems found: 727

Find radius
Find the radius of the circle using the Pythagorean theorem where a=9, b=r, c= 6+r
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
Area of a rectangle
Calculate the area of a rectangle 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? ?
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)
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, 24 dm ?
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).
Add vector
Given that P = (5, 8) and Q = (6, 9), find the component form and magnitude of vector PQ.
Triangle
Can an equilateral triangle have a right angle?
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.
Height
Is right that in any right triangle height is less or equal half of the hypotenuse?
ABS CN
Calculate the absolute value of complex number -15-29i.
Median
In the right triangle are sides a=41 dm b=42 dm. Calculate the length of the medians t_c to the hypotenuse.
Distance problem 2
A=(x,2x) B=(2x,1) Distance AB=√2, find value of x
Height UT
How long is height in the equilateral triangle with a side b = 43?
Five-gon
Calculate the side a, the circumference and the area of the regular 5-angle if Rop = 6cm.