Practice problems of the area of a triangle
Number of problems found: 544
- Isosceles right triangle
If the square of the hypotenuse of an isosceles right triangle is 128 cm2, find the length of each side.
- An equivalent
An equivalent triangle has the same perimeter of a rectangle whose sides are b and h (b > h). Considering that the area of the triangle is 3 times the area of the rectangle. What is the value of b/h?
- An isosceles
An isosceles trapezoid has base angles of 50° each and its bases are 20 cm and 30 cm. Compute its area.
- Perpendicular 70824
One perpendicular to the right triangle ABC has a length a = 14 cm, and a radius of the circle inscribed in this triangle r = 5 cm. Find the size of the diaphragm and its second perpendicular.
- Calculate 70804
The garden has the shape of a right triangle and is fenced with a fence length of 364m. The shorter slope of the triangle is 26 m long. Calculate the area of this garden.
- Consider 3
Consider the isosceles trapezoid PQRS. The bases are |PQ|=120 mm, |RS|=62 mm and the arm s=48 mm. Find the height of the trapezoid, diagonal length and the area of the trapezoid.
- Percentage 66724
If the rhombus side in the image increases by half, by what percentage will the area of the rhombus increase?
- Quadrilateral 66614
The picture shows a square ABCD with the center S and the side 8 cm long. Point E is any point on the CD side other than C and D. Calculate the area of the ASBE quadrilateral in cm².
- Perpendiculars 66274
The perpendiculars of a right triangle have lengths of 30 cm and 40 cm. What is the height of the triangle?
- Trapezoid 65644
In an isosceles trapezoid, the base ratio a / c = 9/7, arm b = 10 cm, height v = 8 cm. Calculate the area of the trapezoid in cm².
- Calculate 65154
Each square of the net has an area of 25 mm². Calculate the area of the DEF triangle in cm². Express the result as a decimal number to three decimal places.
- Hypotenuse 64694
Point S is the center of the hypotenuse AB of the right triangle ABC. Calculate the content of triangle ABC if the line on the hypotenuse is 0.2 dm long and if | ∢ACS | = 30 °.
- Triangle 63244
The area of the ABCD square in the picture is 36 cm². The points E and F are the centers of the sides of the square BC and CD. What is the area of the triangle AEF in cm²?
- Rectangular 63094
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.
- Coat of arms
The class created its coat of arms, which had a shape composed of an isosceles trapezoid ABCD (shorter base is a = 4.5 cm long, longer 2a = 9 cm, trapezoid height 6 cm) and a semicircle with center S and diameter AB. Three identical isosceles triangles fo
- A triangle 3
A triangle has base 5 5/6 feet and height 7 2/5 feet. Find the area of the triangle as a mixed number.
- Calculate 58953
Calculate the area of a circular line if the radius r = 80 cm and the central angle is α = 110 °?
- ABS triangle
Point S is the center of the square ABCD. The ABS triangle has an area of 9 cm². What is the circumference of the square in cm?
- Trapezoid
The rectangular trapezoid ABCD with right angle at the vertex A has sides a, b, c, d. Calculate the circumference and the area of the trapezoid if given: a = 25cm, c = 10cm, d = 8cm
- Determine 57151
The land has the shape of an obtuse triangle with sides of 40m, 30, and 60m. Determine the minimum length of the mesh for fencing and the land area in ares.
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