Question

Help please, it is geometry

Answer 1

SR = 38.987 units

Explanation:

ΔRST is a right-angled triangle

where:

RT = Hypotenuse

= 48 units

With respect to ∠T:

RS = Opposite

ST = Adjacent

= 28 units

To calculate the measurement of any of the three sides of the right-angled triangle mentioned above, we use the Pythagorean Theorem:

`hyp^(2) = opp^(2) + adj^(2)`

`RT^(2) = RS^(2) + ST^(2)`

`48^(2) = RS^(2) + 28^(2)`

Side RS is to isolated and made the subject of the equation:

`RS^(2) = 48^(2) - 28^(2)`

`RS^(2) = 1520`

Take the square root on both sides to get rid of the square:

`\sqrt{RS^(2)} = √(1520)`

`RS = 38.9871` units

∴SR = 38.987 units (Rounded to the nearest thousandth)