Equilateral triangle practice problems

See also practice problems: triangle, angle, right triangle, similarity of triangles, The right triangle altitude theorem.

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Number of problems found: 78

Triangles
An equilateral triangle with a side 16 cm has the same perimeter as an isosceles triangle with an arm of 23 cm. Calculate the base x of an isosceles triangle.
Equilateral triangle
Calculate the side of an equilateral triangle if its area is 892 mm².
Height 2
Calculate the height of the equilateral triangle with side 27.
Triangle
Can an equilateral triangle have a right angle?
Axial section
The axial section of the cone is an equilateral triangle with area 122 m². Calculate the volume of the cone.
Equilateral triangle
How long should the minimum radius of the circular plate be cut an equilateral triangle with side 19 cm from it?
Height
Calculate height of the equilateral triangle if its perimeter is 8?
Height UT
How long is height in the equilateral triangle with a side e = 43?
Similarity coefficient
The ratio of similarity of two equilateral triangles is 3.5 (ie 7:2). The length of the side of smaller triangle is 2.4 cm. Calculate the perimeter and area of the larger triangle.
Semicircle
The semicircle with center S and the diameter AB is constructed equilateral triangle SBC. What is the magnitude of the angle ∠SAC?
Circle section
Equilateral triangle with side 33 is inscribed circle section whose center is in one of the vertices of the triangle and the arc touches the opposite side. Calculate: a) the length of the arc b) the ratio betewwn the circumference to the circle sector and
Funnel
The funnel has the shape of an equilateral cone. Calculate the surface wetted with water if we poured into the funnel 7.1 liters of water.
EQL triangle
Calculate the inradius and circumradius of an equilateral triangle with side a=77 cm.
Equilateral triangle v2
An equilateral triangle has a perimeter 36 dm. What is its area?
Pentagon
Within a regular pentagon ABCDE point, P is such that the triangle is equilateral ABP. How big is the angle BCP? Make a sketch.
Internal angles
The ABCD is an isosceles trapezoid, which holds: |AB| = 2 |BC| = 2 |CD| = 2 |DA|: On the BC side is a K point such that |BK| = 2 |KC|, on its side CD is the point L such that |CL| = 2 |LD|, and on its side DA, the point M is such that | DM | = 2 |MA|. Det
Triangle eq
Calculate accurate to hundredths cm height of an equilateral triangle with a side length 12 cm. Calculate also its perimeter and area.
Triangular prism - regular
The regular triangular prism is 7 cm high. Its base is an equilateral triangle whose height is 3 cm. Calculate the surface and volume of this prism.
Equilateral 2543
a) The perimeter of the equilateral triangle ABC is 63 cm. Calculate the side sizes of the triangle and its height. b) A right isosceles triangle has an area of 40.5 square meters. How big is his circuit? c) Calculate the square's area if the diagonal's s
Rhombus
ABCD is a rhombus, ABD is an equilateral triangle, and AC is equal to 4. Find the area of the rhombus.

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