Area of Triangle Problems - page 7 of 43
Number of problems found: 849
- Rectangle - diagonal
A rectangle whose one side measures 35m and the other is 7m shorter than the diagonal of the rectangle. Calculate its area in m² (square meters). - Rectangle circumference area
Calculate the circumference and area of a rectangle with one side 6 cm long and a diagonal 10 cm long. - A dodecagon
Find the surface area of a regular 12-sided polygon if its side is a = 12 cm. - 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. - An equilateral
An equilateral triangle with a side of 10 m represents a wooden platform standing on a lawn. A goat is tied to a corner with a 15 m rope. What is the maximum amount of grazing area available to the goat? - Diagonals of pentagon
Calculate the diagonal length of the regular pentagon: a) inscribed in a circle of radius 12dm; b) a circumscribed circle with a radius of 12dm. - The perimeter
The perimeter of equilateral △PQR is 12. The perimeter of the regular hexagon STUVWX is also 12. What is the ratio of the area of △PQR to STUVWX? - Rhombus
The rhombus has diagonal lengths of 4.2cm and 3.4cm. Calculate the length of the sides of the rhombus and its height. - Rectangle measurements
In the ABCD rectangle, the AB side is 16 cm long, and the AC diagonal is 20 cm long. Calculate the perimeter and area of the rectangle. - Hypotenuse
Calculate the length of the hypotenuse of a right triangle if the length of one leg is 4 cm and its area is 16 square centimeters. - Area of RT
Calculate the right triangle area in which the hypotenuse has length 14 and one hypotenuse segment has length 5. - Maximum area of rhombus
Calculate the interior angles at which the equilateral rhombus has a maximum area. - Garden perimeter area
Calculate the perimeter and the area of a rectangular garden if the diagonal length is 18 m long and one of the sides of the garden is 9m long. - Hypotenuse length
Calculate the hypotenuse length if you know the area of an isosceles right triangle that is 24.5 cm square. - Right-angled - legs
The lengths of legs are a = 7.2 cm and b = 10.4 cm in the right-angled triangle ABC. Calculate: a) lengths of the sections of the hypotenuse b) height to the hypotenuse c - Triangle area proof
Squares are constructed above the overhangs and the transom. Connecting the outer vertices of adjacent squares creates three triangles. Prove that their areas are the same. - Square triangle area
The area of the ABCD square in the picture is 36 cm². Points E and F are the centers of the square BC and CD sides. What is the area of the triangle AEF in cm²? - Inscribed circle
A circle is inscribed in the triangle with sides of 13 cm, 14 cm, and 15 cm. What is its radius? - Three altitudes
A triangle with altitudes 4, 5, and 6 cm is given. Calculate the lengths of all medians and all sides in a triangle. - Rectangle
There is a rectangle with a length of 12 cm and a diagonal 8 cm longer than the width. Calculate the area of a rectangle.
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