Heron's formula + expression of a variable from the formula - practice problems
Number of problems found: 22
- Height or altitude
Find the altitude (in cm) of side MT of triangle MNT with side MN = 36 cm, MT = 36 cm and NT = 48 cm.
- Calculate 4424
Calculate the area of the triangle ABC if a = 10 cm, c = 8 cm, ta = 6 cm.
- Sss triangle
Calculate the area and heights in the triangle ABC by sides a = 8cm, b = 11cm, c = 12cm
- Trapezoid and diagonals
Find the area of a trapezoid with bases a = 24 cm, c = 16 cm, and diagonals u = 22 cm, v = 26 cm.
- Calculate 81757
Calculate the size of the largest angle in triangle ABC if a = 7 cm, b = 8 cm, and c = 13 cm. Calculate the area of the triangle, the height per side a.
- Second-longest 7659
The sides of the ABC triangle measure 39 cm, 42 cm, and 45 cm. The second-longest height of this triangle is 36 cm. What is its shortest height?
- Triangle's 9731
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.
- General triangle
Given a general triangle ABC. Its perimeter is 30 cm, with side a=2 cm longer than side b and 5 cm shorter than side c. Determine the area of the triangle.
- Calculate triangle
In the triangle, ABC, calculate the sizes of all heights, angles, perimeters, and areas if given a=40cm, b=57cm, and c=59cm.
- Parallelogram ABCD
We have the parallelogram ABCD, where AB is 6.2 cm BC is 5.4 cm AC is 4.8 cm calculate the height on the AB side and the angle DAB
- Parallelogram 64414
The parallelogram has side a = 58cm and diagonals u = 89cm and v = 52cm. Calculate the perimeter and area of this parallelogram.
- Parallelogram
The sides of the parallelogram are 8 cm and 6 cm long, and the diagonals' angle is 60°. What is its area?
- Heron backlaw
Calculate the unknown side in a triangle with sides 24 and 40 and area 299.6.
- Circular railway
The railway connects points A, B, and C in a circular arc, whose distances are | AB | = 30 km, AC = 95 km, and BC | = 70 km. How long will the track be from A to C?
- Parallelogram - area
Calculate the area of the parallelogram if the sides are a = 80, b = 60 long, and the size of the diagonal angle is 60°.
- Gardens
The square garden is 3/4 of the area of the triangular garden, which has sides of 80 m, 50 m, and 50 m. How many meters of fence do we need to fence a square garden?
- Circumference 64104
The ABC triangle has a circumference of 11 cm. Triangle A'B'C ', similar to triangle ABC, has side lengths of 6 cm, 120 mm, and 1.5 dm larger than triangle ABC. Calculate the area of the triangle A'B'C '.
- Sides ratio
Calculate the circumference of a triangle with an area of 84 cm² if a:b:c = 10:17:21
- Circumscribed 83357
Calculate the radius of the circle of the circumscribed triangle, which has side dimensions of 8, 10, and 14 cm.
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