If an equithagorean triangle is an equilateral triangle in which the sum of the cubes of two sides is equal to the square of the third side, what is the perimeter of an equithagorean triangle?
A. 0.5
B. 1.5
C. 4.5
D. 6
3 answers
What is an "equithagorean triangle?"
Yup, this question is weird. They say its a equilateral triangle when the sum of the cubes of the two sides are equal to the square of the third...
Of course all sides are the same
let the side be x
given: "the sum of the cubes of two sides is equal to the square of the third side"
... just translate into math
2x^3 = x^2
2x^3 - x^2 = 0
x^2(2x - 1) = 0
x = 0 , which would make an interesting triangle
or
x = 1/2
So the perimeter is 3x = 3/2, which is your choice B
let the side be x
given: "the sum of the cubes of two sides is equal to the square of the third side"
... just translate into math
2x^3 = x^2
2x^3 - x^2 = 0
x^2(2x - 1) = 0
x = 0 , which would make an interesting triangle
or
x = 1/2
So the perimeter is 3x = 3/2, which is your choice B
2 answers