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
[tex]c^{2}= a^{2} +b^{2}[/tex]
[tex]15^{2} =a^{2} +12^{2}[/tex]
[tex]225=a^{2}+144[/tex]
Now, subtracting both sides by 144 we get:
[tex]225-144=a^{2}+144-144[/tex]
[tex]81=a^{2}[/tex]
Using square root on both sides:
[tex]9=a[/tex]
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.
