Answer:
BRAINLIEST PLZZZZZ
Step-by-step explanation:
The shortest side of the triangle is 3 inches.
Given:
The ratio of the measure of the sides of the triangle is 1/6: 1/3: 1/4.
The perimeter = 13.5 inches.
Now, to find the shortest side.
Let the one side be = 1/6x
And the second side be = 1/3x
And the third side be = 1/4x
According to question:
1/6x + 1/3x + 1/4x = 13.5
x/6 = x/3 = x/4 = 13.5
Adding all the variables by taking common denominator we get:
⇒ 9x/12 = 13.5
Multiplying both sides by 12 we get:
⇒ 9x = 162
Dividing both sides by 9 we get:
⇒ x = 18
Thus, the sides of the triangle are:
1/6×18=3 inches.
1/3×18=6 inches.
1/4×18=9/2=4.5 inches.<u>
</u>
<u>Therefore, the shortest side of the triangle is 3 inches.</u>
