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GradeProperties of equilateral triangle

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Given the equilateral triangle inscribed in a square of side s find the ratio of $\Delta BCR$ to $\Delta PRD$ ?

Can an equilateral triangle be a right triangle?

The length of each side of an equilateral triangle is increased by $5$ inches, so, the perimeter is now $60$inches. How do you write and solve an equation to find the original length of each side of the equilateral triangle?

In a quadrilateral \[ABCD\], which is not a trapezium. It is known that $\angle DAB = \angle ABC = 60^\circ $. Moreover, $\angle CAB = \angle CBD$. Then

A. $AB = BC + CD$

B. $AB = AD + CD$

C. $AB = BC + AD$

D. $AB = AC + AD$?

A. $AB = BC + CD$

B. $AB = AD + CD$

C. $AB = BC + AD$

D. $AB = AC + AD$?

Why are all equilateral triangles acute?

In the given figure, \[\vartriangle ABC\] is an equilateral triangle the length of whose side is equal to \[10\] cm, and \[\vartriangle DBC\] is right-angled at D and BD \[ = 8\] cm. Find the area of the shaded region. [Take \[\sqrt 3 = 1.732\] ]

Find the area of the equilateral triangle having length of each side 50 cm.

Prove that the area of an equilateral triangle described on one side of the square is equal to half the area of the equilateral triangle described on one of its diagonal.

Find the measure of each angle of an equilateral triangle.

ABC and BDE are two equilateral triangles such that “D” is the midpoint of BC. Ratio of the area of the triangles ABC and BDE is

A.$2:1$

B.$1:4$

C.$1:2$

D.$4:1$

A.$2:1$

B.$1:4$

C.$1:2$

D.$4:1$

What is the area of an equilateral triangle with height of 9 inches?

What is the area of an equilateral triangle with a side length of $ 5? $

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