5-5 Check for Understanding

Find the lengths of the legs.

Fill in the blank. A square has a diagonal of length 5 cm. The area of the square is _____ cm².

What is the length of AC?

What is the length of DE?

A 45-45-90 triangle has the given side measure(s). Find the possible missing side length(s). The sides are listed from smallest to largest:

3, 3, _____

A 45-45-90 triangle has the given side measure(s). Find the possible missing side length(s). The sides are listed from smallest to largest:

5, 5, _____

A 45-45-90 triangle has the given side measure(s). Find the possible missing side length(s). The sides are listed from smallest to largest:

____, ____, 7sqrt(2)

(separate your answers with a comma).

A 45-45-90 triangle has the given side measure(s). Find the possible missing side length(s). The sides are listed from smallest to largest:

____, 3sqrt(2), ____

(separate your answers with a comma).

A 45-45-90 triangle has the given side measure(s). Find the possible missing side length(s). The sides are listed from smallest to largest:

5sqrt(2), ____, ____

(separate your answers with a comma).

A 45-45-90 triangle has the given side measure(s). Find the possible missing side length(s). The sides are listed from smallest to largest:

sqrt(28), ____, ____

(separate your answers with a comma).

A 45-45-90 triangle has the given side measure(s). Find the possible missing side length(s). The sides are listed from smallest to largest:

____, ____, sqrt(28)

(separate your answers with a comma).

A 45-45-90 triangle has the given side measure(s). Find the possible missing side length(s). The sides are listed from smallest to largest:

x, ____, ____

(separate your answers with a comma).

A 45-45-90 triangle has the given side measure(s). Find the possible missing side length(s). The sides are listed from smallest to largest:

xsqrt(2), ____, ____

(separate your answers with a comma).