Determine the missing measurement to complete the statement below.

Answer:A museum exhibit features a custom glass panel shaped exactly like a right triangle. The longest edge of the glass panel measures

29\text{ inches}

, and the shortest edge measures

20\text{ inches}

. The length of the third edge is 【21】 inches.

The correct answer is

21

. According to the Pythagorean theorem (

a^2 + b^2 = c^2

), the square of the hypotenuse (

29^2 = 841

) minus the square of the known leg (

20^2 = 400

) equals the square of the unknown leg (

441

). The square root of

441

21

Identify the given parts of the right triangle.

Hypotenuse

c = 29

, and leg

a = 20

The longest edge of a right triangle is always the hypotenuse.

Set up the Pythagorean theorem equation.

20^2 + b^2 = 29^2

The Pythagorean theorem (

a^2 + b^2 = c^2

) connects the lengths of the legs to the hypotenuse.

Square the known side lengths.

400 + b^2 = 841

20 \times 20 = 400

and

29 \times 29 = 841

Isolate the unknown variable

b^2

b^2 = 841 - 400 = 441

Subtract

400

from both sides to find the square of the missing leg.

Solve for

b

by taking the square root.

b = \sqrt{441} = 21

The square root of

441

gives the length of the third edge in inches.

The Pythagorean Theorem (

a^2 + b^2 = c^2

) allows you to find an unknown leg of a right triangle by subtracting the square of the known leg from the square of the hypotenuse.

Question