Pythagorean theorem + right triangle - math problems

Number of problems found: 674

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
Laws
From which law follows directly the validity of Pythagoras' theorem in the right triangle? ?
Triangle
Can an equilateral triangle have a right angle?
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.
Find radius
Find the radius of the circle using the Pythagorean theorem where a=9, b=r, c= 6+r
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)
Triangle ABC
Triangle ABC has side lengths m-1, m-2, m-3. What has to be m to be triangle a) rectangular b) acute-angled?
Is right triangle or not
If right triangle ABC, have sides a=13, b=11.5, c=22.5. Find area.
Is right?
Is a triangle with sides 51, 56, and 77 right triangle?
Triangle IRT
In isosceles right triangle ABC with right angle at vertex C is coordinates: A (-1, 2); C (-5, -2) Calculate the length of segment AB.
Is right triangle
Decide if the triangle XYZ is rectangular: x = 4 m, y = 6 m, z = 4 m
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)
Without Euclid laws
Right triangle ABC with right angle at the C has a=14 and hypotenuse c=26. Calculate the height h of this triangle without the use of Euclidean laws.
Vertex points
Given the following points of a triangle: P(-12,6), Q(4,0), R(-8,-6). Graph the triangle. Find the triangle area.
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).
Right triangle
A right triangle ABC is given, c is a hypotenuse. Find the length of the sides a, b, the angle beta if c = 5 and angle alfa = A = 35 degrees.
Triangle
Calculate the triangle sides if its area S = 630 and the second cathetus is shorter by 17.
ISO Triangle V2
The perimeter of RR triangle (isosceles) is 474 m, and the base is 48 m longer than the arms. Calculate the area of this triangle.
Triangle ABC
In a triangle ABC with the side BC of length 2 cm The middle point of AB. Points L and M split the AC side into three equal lines. KLM is an isosceles triangle with a right angle at the point K. Determine the lengths of the sides AB, AC triangle ABC.