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What are aspects of Pythagoras theorem?
Pythagoras' theorem states that for any right angled triangle the length of the hypotenuse when squared is equal to the sum of the length of the base plus the length of the height when both are squared: base2+height2 = hypotenuse2
What is the length of the altitude of an equilateral triangle whose side has a length of four?
The altitude/height of an equilateral triangle can be calculated by taking the perpendicular bisector of any side. This line will bisect its opposite angle forming two congruent right angled triangles. The side length of the original equilateral triangle is the hypotenuse and the short leg of right angled triangle is half the hypotenuse. By Pythagoras' Theorem : 42 = 22 + L2.........where L is the length of the altitude. L2 = 42 - 22 = 16 - 4 = 12 L = √12 = 2√3 = 3.464 (3dp)
What is the length of side a if side b is 7cm and side c is 13 cm?
It can be any length greater than 6 cm and less than 20 cm.
In any 45-45-90 triangle the length of the hypotenuse is times the length of a leg.?
False because in any right angle triangle Pythagoras' theorem states that a^2 +b^2 = c^2 whereas 'a' and 'b' being the legs of the triangle with 'c' as its hypotenuse
The perimeter of a square is four times as great as the length of any of its sides determine is the perimeter of a square is proportional to its side length?
Yes it is.
