juans pencil box measures 6 cm long. if the length of the diagonal is 10 cm what is the width of the pencil box

8 cm

Step-by-step explanation:

We can use the Pythagorean theorem to solve since we have a right triangle

a^2 +b^2 = c^2 where a and b are the legs and c is the hypotenuse

a^2 +6^2 = 10^2

a^2 +36 = 100

a^2 = 100-36

a^2 = 64

Taking the square root of each side

sqrt(a^2) = sqrt(64)

a =8

8 cm

Step-by-step explanation:

Use the Pythagorean theorem-

leg a: 6cm

leg b: unknown

hypotenuse: 10cm

Therefore

Subtract 36 to 100 to isolate the .    

Square root both sides and get your answer of 8cm