Question

a square has a side length of 95. what is the length of the diagonal of the square? Express your answer in simplest radical form.

Answer 1

For equare;
Diagonal Length² = Side Lenght² + Side Length²
Diagonal Length² = 2 * (Side Lenght²)

Therefore;
Diagonal Length² = 2 * (95²)
Diagonal Length = √(2 * (95²))
Diagonal Length = 95 * √(2)

So the answer is 95*√(2) this is the same as √(18050)

Answer 2

use pythagoras' theorem

95^ + 95^2 = d^2

Answer 3

\[a ^{2} + b^{2} = c^{2}\]
\[95^2 + 95^2 = c^2\]
\[c^2= 18050\]
Find c