Answer:
SU, TU, ST
Step-by-step explanation:
Given:
<S = 7x - 36,
<T = 5x - 1,
<U = x + 9
First, find the value of x
(7x - 36) + (5x - 1) + (x + 9) = 180° (sum of ∆)
7x - 36 + 5x - 1 + x + 9 = 180
Collect like terms
13x - 28 = 180
Add 28 to both sides
13x = 180 + 28
13x = 208
Divide both sides by 13
x = 16
Next, find the measure of each angle.
<S = 7x - 36,
Plug in the value of x
m<S = 7(16) - 36 = 76°
<T = 5x - 1,
m<T = 5(16) - 1 = 79°
<U = x + 9
m<U = 16 + 9 = 25°
The size of each angle of a triangle is tells how much longer or shorter the length of the side opposite it is. The greater the degree of am angle, the longer the side, and vice versa.
Thus.
The largest angle in ∆STU is <T, which is opposite to side SU. This means the greatest side is SU.
The medium angle is <S, which is opposite to side TU. This means side TU is the medium side.
The smallest angle is <U, which is opposite to side ST. This means the least side would be ST.
From greatest to the least, the sides of ∆STU are:
✅SU, TU, ST
