Rotate the trianlge by 60 degrees about the point C. Let $P'$ be the new position of $P$. Then $\angle P'PA=90$. Thus we get a triangle $CPA$ with $\angle CPA=150$ and $PC=3, PA=4$. To find $AC$.Albert said:
Brilliant solution!Albert said:
An equilateral triangle is a type of triangle where all three sides are equal in length and all three angles are equal at 60 degrees.
To find the side length of an equilateral triangle, you can use the formula s = P/3, where s is the side length and P is the perimeter of the triangle. This means that you divide the perimeter by 3 to get the length of each side.
No, the Pythagorean theorem only applies to right triangles, where one angle is 90 degrees. Since all angles in an equilateral triangle are 60 degrees, the Pythagorean theorem cannot be used to find the side length.
Yes, all equilateral triangles are the same size because they have equal side lengths and angles. The only difference between equilateral triangles is their orientation or position.
To prove that a triangle is equilateral, you can show that all three sides are equal in length and all three angles are equal at 60 degrees. This can be done by measuring the sides and angles or using geometric proofs.
