Planimetrics - practice for 14 year olds - page 5 of 71
Number of problems found: 1416
- Compute 4
Compute the exact value of the triangle area with sides 14 mi, 12 mi, and 12 mi long. - Isosceles 19393
How many dm² of the area is an isosceles triangle if the angle at the base is 45˚ and the bottom is 10 cm long? - Right angle
If a, b and c are two sides of a triangle ABC, a right angle in A, find the value on each missing side. If b=10, c=6 - Position 19113
The column is fixed in a vertical position by 3 ropes, which are caught at the height of 3 m above the ground. The other ends of the ropes are anchored to the ground at a distance of 4 m from the base of the column. How much rope was used to secure the po
- Calculation 18413
What is the length of the cathetus of an isosceles right triangle with an 8 cm long hypotenuse? Make calculations and procedures. - A-shaped ladder
An unfolded double ladder (A-shaped rung) is 10 m long. How high will it reach if the painter extends both parts of the ladder and ensures that the two parts of the ladder are 12 m apart on the ground? - Triangle's 16613
They make bases for table lamps from bronze in the shape of an isosceles triangle. How many m² are needed for 5 mats if the arms are 24 cm long and the height to the triangle's base is 1.5 dm? - The trapezium
The trapezium is formed by cutting the top of the right-angled isosceles triangle. The trapezium base is 10 cm, and the top is 5 cm. Find the area of the trapezium. - Area of a rectangle
Calculate a rectangle area with a diagonal of u = 12.5cm and a width of b = 3.5cm. Use the Pythagorean theorem.
- Tree trunk
What is the smallest diameter of a tree trunk that we can cut a square-section square with a side length of 20 cm? - Two parallel chords
The two parallel chords of the circle have the same length of 6 cm and are 8 cm apart. Calculate the radius of the circle. - Must-have 7893
If we want to make a prism with a wooden base with a 5 cm side of a wooden bar, what is the bar's smallest diameter? - Vertically 7853
The storm broke the vertically growing spruce at 8 meters above the ground. The top fell to the bottom 6 meters from the spruce base. Find the original height of the spruce. - Distance 7717
To what height does a 6.5 m long ladder leaning against a wall at a distance of 5.4 m reach?
- Spruce height
How tall was spruce that was cut at an altitude of 8m above the ground and the top landed at a distance of 15m from the heel of the tree? - RT - inscribed circle
In a rectangular triangle has sides lengths> a = 30cm, b = 12.5cm. The right angle is at vertex C. Calculate the radius of the inscribed circle. - Right 24
The right isosceles triangle has an altitude x drawn from the right angle to the hypotenuse dividing it into two unequal segments. The length of one segment is 5 cm. What is the area of the triangle? Thank you. - Inscribed 7018
The dragon has the shape of a regular hexagon inscribed in a circle with a radius of 20 cm. What is the area of the dragon? - Double ladder
The double ladder is 8.5m long. It is built so that its lower ends are 3.5 meters apart. How high does the upper end of the ladder reach?
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