Right triangle - examplesSee also our right triangle calculator.
- Quadrilateral 2
Show that the quadrilateral with vertices P1(0,1), P2(4,2) P3(3,6) P4(-5,4) has two right triangles.
- Vertices of RT
Show that the points P1 (5,0), P2 (2,1) & P3 (4,7) are the vertices of a right triangle.
- 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)
- Forces on earth directions
A force of 60 N [North] and 80 N [East] is exerted on an object wigth 10 kg. What is the acceleration of the object?
Calculate a length of the V-belt when the diameter of the pulleys is: D1 = 600 mm D2 = 120 mm d = 480 mm
- Center of gravity
In the isosceles triangle ABC is the ratio of the lengths of AB and the height to AB 10:12. The arm has a length of 26 cm. If the center of gravity T of triangle ABC find area of triangle ABT.
- Sun rays
If the sun's rays are at an angle 60° then famous Great Pyramid of Egypt (which is now high 137.3 meters) has 79.3 m long shadow. Calculate current height of neighboring chefren pyramid whose shadow is measured at the same time 78.8 m and the current hei
- Cube in sphere
The sphere is inscribed cube with edge 8 cm. Find the radius of the sphere.
- Isosceles right triangle
Contents of an isosceles right triangle is 18 dm2. Calculate the length of its base.
Draw a square ABCD whose diagonals have a length of 6 cm
- Isosceles triangle
Calculate area and perimeter of an isosceles triangle ABC with base AB if a = 6 cm, c = 7 cm.
- Is right?
Is triangle with sides 24, 51 and 45 right triangle?
- Reverse Pythagorean theorem
Given are lengths of the sides of the triangles. Decide which one is rectangular: Δ ABC: 73 m, 66 m, 51 m ? Δ DEF: 63 cm, 105 cm, 84 cm ? Δ GHI: 50 dm, 48 dm, 14 dm ? Δ JKL: 31 m, 45 m, 40 m ? Δ MNO: 28 m, 53 m, 45 m ?
- Proof PT
Can you easy prove Pythagoras theorem using Euclidean theorems? If so, do it.
- It is rectangular?
Size of two of the angles in a triangle are: α=60°, β=20°. Is it a right triangle?
Are two right triangles similar to each other if the first one has a acute angle 10° and second one has acute angle 50°?
Can be rectangular triangle equilateral?
Is right that in any right triangle height is less or equal half of the hypotenuse?
Trunk diameter is 72 cm. Is it possible to inscribe a square prism with side 54 cm?
- Triangle P2
Can triangle have two right angles?