Triangle - examplesSee also our trigonometric triangle calculator.
- 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.
- Tree shadow
The shadow of the tree is 16 meters long. Shadow of two meters high tourist sign beside standing is 3.2 meters long. What height has tree (in meters)?
- 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
- Trapezoid MO-5-Z8
Trapezoid KLMN has bases 12 and 4 cm long. The area of triangle KMN is 9 cm2. What is the area of the trapezoid KLMN?
- Isosceles right triangle
Contents of an isosceles right triangle is 18 dm2. Calculate the length of its base.
- 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?
From which law follows directly the validity of Pythagoras' theorem in the right triangle? ?
- It is rectangular?
Size of two of the angles in a triangle are: α=60°, β=20°. Is it a right triangle?
Can be rectangular triangle equilateral?
Are two right triangles similar to each other if the first one has a acute angle 10° and second one has acute angle 50°?
Prove whether you can construct a triangle ABC, if a=5 cm, b=10 cm, c=2 cm.
- Triangle P2
Can triangle have two right angles?
In the trapezoid KLMN is given this informations: 1. segments KL and MN are parallel 2. segments KL and KM has same length 3. segments KN, NM and ML has same length. Determine the size of the angle KMN.
- Right Δ
Right triangle has length of one leg 7 cm and length of the hypotenuse 25 cm. Calculate the height of the triangle.
May be the largest angle in the triangle less than 70°?
- Center traverse
It is true that the middle traverse bisects the triangle?
- 3-bracket 2
May be the smallest angle in the triangle greater than 20°?
- MO SK/CZ Z9–I–3
John had the ball that rolled into the pool and it swam in the water. Its highest point was 2 cm above the surface. Diameter of circle that marked the water level on the surface of the ball was 8 cm. Determine the diameter of John ball.
Calculate the length of the diagonal of the rectangle ABCD with sides a = 7 cm, b = 6 cm.