What is the length of the unknown

leg of the right triangle to the

nearest tenth of a centimeter measurements:

11.25 cm

35.25 cm

b = 33.4

Step-by-step explanation:

We can use the Pythagorean theorem

a^2 + b^2 = c^2

where a and b are the legs and c is the hypotenuse

11.25 ^2 + b^2 = 35.25^2

125.5625 + b^2 = 1242.5625

125.5625-125.5625 + b^2 = 1242.5625-125.5625

b^2 = 1116

Take the square root of each side

sqrt (b^2) = sqrt (1116)

b = 33.40658618

To the nearest tenth

b = 33.4

344.7 is the answer