SOLUTION: if a triangle is formed with sides having lengths what type of triangle is 4 , 4 square root 3 , and 8

Question 184609This question is from textbook geometry
: if a triangle is formed with sides having lengths what type of triangle is 4 , 4 square root 3 , and 8 This question is from textbook geometry

Answer by J2R2R(94) (Show Source): You can put this solution on YOUR website!
If a triangle is formed with sides having lengths what type of triangle is 4, 4 square root 3, and 8.

Straight away, square all 3 sides and you have 4 squared, 3 times 4 squared and 8 squared.

Now 4 squared plus 3 times 4 squared equals 4 times 4 squared, which equals 8 squared.

4 x 4 + 3 x 4 x 4 = 16 + 48 = 64 = 8 x 8

Hence since the square of the hypotenuse equals the sum of the squares of the other two sides, it must be a right-angled triangle (Pythagoras) with the hypotenuse equal to 8.

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