Can a triangle be drawn with the following side lengths? 7 in., 5 in., 12 in.
Mathematics · Middle School · Tue Nov 03 2020
Answered on
The given side lengths can illustrate a triangle whereas we'll have 12 inches as the base, 5 inches as the height, and 7 inches as the length of the hypotenuse if illustrated as a right triangle. Although, if we apply the concept of Pythagorean theorem represented as,
c^2 = b^2 + a^2,
where b = 12/2 since we have a right triangle
a =5
if we solve for c,
c = √((5)^2 + (6)^2)
c = √(25 + 36)
c = √61
c =7.8
Hence it is not an equilateral triangle, since if we solve the hypotenuse of the right triangle, the answer will not equal to 7. Therefore we can conclude that we can illustrate the triangle, but it is not an equilateral triangle.
Final answer:
The given can be illustrated as a triangle, but not an equilateral triangle.