Question

What is the length of the diagonal of the square shown below​

Answer 1

7
`√(2)`

Explanation:

the diagonal d divides the square into 2 right angles.

using Pythagoras' identity in one of the right triangles , then

d² = 7² + 7² = 49 + 49 = 98 ( take square root of both sides )

d =
`√(98)` =
`√(49(2))` =
`√(49)` ×
`√(2)` = 7
`√(2)`

Answer 2

c =7√2

Explanation:

using the Pythagorean theorem we solve the diagonal ,where the two sides are given to find the hypotenuse.

c² =a² + b²

where c is the diagonal (hypotenuse fot thr triangle)

a and b are the legs (sides)

c² =7²+7²

c²= 98

c= √98

c=√49.√2

c=7√2