A square pane of glass has sides of 15cm. How long is its diagonal?

Use the Pythagorean Theorem as I showed you in your last post.

Diagonal:

d=sqroot(a^2+a^2)

d=sqroot(2*a^2)

d=sqroot(2)*a

a=15cm

d=1.41421*15 Becouse sqroot(2)=1.41421

d=21.21315 cm

To find the length of the diagonal of a square pane of glass, you can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the two shorter sides is equal to the square of the longest side (the hypotenuse).

In this case, since the square pane of glass has sides of 15 cm, we can consider it as a right triangle where the two shorter sides are the sides of the square and the longest side is the diagonal we want to find.

So, let's label the sides of the square as a and b, where a = b = 15 cm. The diagonal can be represented by d.

According to the Pythagorean theorem, we can write:

a^2 + b^2 = d^2

Plugging in the values:

15^2 + 15^2 = d^2

225 + 225 = d^2

450 = d^2

Taking the square root of both sides to solve for d:

d = √450 ≈ 21.21 cm

Therefore, the length of the diagonal of the square pane of glass is approximately 21.21 cm.