Area of Triangle Problems - page 18 of 43
Number of problems found: 853
- RT = legs, circle
One leg of a right triangle ABC has length a= 14 cm and the radius of the circle inscribed in this triangle r= 5 cm. Calculate the length of the hypotenuse and its other leg. - Hypotenuse and center
Point S is the center of the hypotenuse AB of the right triangle ABC. Calculate the area of triangle ABC if the line on the hypotenuse is 0.2 dm long and if angle ∢ACS is 30°. - Joanne
Joanne and Roger are planting a rectangular garden. The garden is 8 1/2 ft by 13 ft. They want to use half of the garden for cucumbers and half for tomatoes. They decide to separate the garden into two right triangles. What is the area of the tomato part - Calculate
Calculate the area of triangle ABC if given by alpha = 49°, beta = 31°, and the height on the c side is 9cm. - Triangle
In triangle ABC, there is a point S with the center of the inscribed circle. The area of quadrilateral ABCS is equal to four-fifths of the area of triangle ABC. The lengths of the sides of triangle ABC expressed in centimeters are all integers and the - Pentadecagon
Calculate the area of a regular 15-side polygon inscribed in a circle with a radius r = 4. Express the result to two decimal places. - Horses playground
The horse fence is a rectangular trapezoid with an area of 400 m². The base lengths should be 31 m and 19 m. If the boards are stacked in 5 rows, how many meters of fence will they need? - Trapezoid circuit area
The bases are 9 cm and 50 mm long in a rectangular trapezoid. The length of the shorter arm is 3 cm. Calculate the circuit and area. - Triangle solving calculation
Solve the triangle ABC if the side a = 52 cm, the height on the other side is vb = 21 cm, and the triangle's area is S = 330 cm². - Rectangular field
A rectangular field has a diagonal length of 169m. If the length and width are in the ratio of 12:5. Find the field's dimensions, the field's perimeter, and the field's area. - Diagonal
The rectangular ABCD trapeze, whose AD arm is perpendicular to the AB and CD bases, has an area of 15 cm square. Bases have lengths AB = 6cm and CD = 4cm. Calculate the length of the AC diagonal. - Rhumbline
Find the circumference and area of the rhumbline ABCD if the short side AD has a length of 5 cm, and the heel of the height from D leading to the AB side divides the AB side into two sections of 3 cm and 4 cm. - Right triangle area
In a right-angled triangle ABC, the height of side c has a length of 6 cm. The letter D indicates the heel of the height. Line segment AD is 8 cm long. Calculate the area of triangle ABC. ( example on Monitor 9 ) - Triangle
Determine whether we can make a triangle with the given side lengths. If so, use Heron's formula to find the area of the triangle. a = 119 b = 170 c = 130 - Area 4gon
Calculate the area of 4-gon, two, and the two sides are equal and parallel with lengths 18, 9, 18, and 9. Inner angles are 45°, 135°,45°, 135°. - Rhombus 48
A rhombus consists of four identical rhombuses with an area of 42 m². The angle alpha of each rhombus is 60°. What is its perimeter? - Triangle land fencing
The land has the shape of an obtuse triangle with sides of 40m, 30, and 60m. Determine the minimum mesh length for fencing and the land area in ares. - Decagon circumference area
Calculate the circumference and the area of a regular ten-angle polygon if the radius of the circumscribed circle r = 20 cm. - In a right triangle 13
The height of the hypotenuse is 4.8cm. The hypotenuses are in the ratio 4:3. Calculate the perimeter and area of a triangle. - Triangle Area and Perimeter
The area of a right triangle is 240 cm². Determine its circumference if the given lengths are suspended in a ratio of 5:12.
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