Question

Find the length of the missing side to the nearest tenth of a unit.

Answer 1

Answer:

The length of the missing side of the nearest tenth unit is 9.0m.

Step-by-step explanation:

Given:

The triangle hypotenuse(c) = 15m, leg 2(b) = 12m and leg 1(a) = ? .

Now, to get the missing side we put formula  to find it:

Hypotenuse² = (leg 1)² + (leg 2)²

$c^{2}= a^{2} +b^{2}$

$15^{2} =a^{2} +12^{2}$

$225=a^{2}+144$

Now, subtracting both sides by 144 we get:

$225-144=a^{2}+144-144$

$81=a^{2}$

Using square root on both sides:

$9=a$

a = 9m.

The number 9 can be written in decimal form as 9.00 . As we have 0 in the hundredth place, we don't add anything to the tenth place.

Therefore, the length of the missing side of the nearest tenth unit is 9.0m.