Right triangle - 9th grade (14y) - 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?
- 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
- 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.
- Proof PT
Can you easy prove Pythagoras theorem using Euclidean theorems? If so, do it.
Trunk diameter is 72 cm. Is it possible to inscribe a square prism with side 54 cm?
- Right Δ
Right triangle has length of one leg 7 cm and length of the hypotenuse 25 cm. Calculate the height of the triangle.
Calculate the length of the diagonal of the rectangle ABCD with sides a = 7 cm, b = 6 cm.
Railways climb 5.8 ‰. Calculate the height difference between two points on the railway distant 2389 meters.
- Square diagonal
Calculate length of the square diagonal if the perimeter is 200 cm.
- Cube diagonal
Determine length of the cube diagonal with edge 55 dm.
- OK circle
Calculate the radius (circumradius) of the circle described right triangle with hypotenuse long 17 and one cathetus long 1.
- Square diagonal
Calculate the length of diagonal of the square with side a = 23 cm.
- Circle chord
What is the length d of the chord circle of diameter 58 mm, if distance from the center circle is 24 mm?
Calculate how many promiles river Hudson average falls, if on section long 921 km flowing water from 1224 m AMSL to 154 m AMSL.