Question

determine the type of triangle that is drawn below.
(image of triangle tsu with angles at t: 27°, at s: 90°, at u: 63°; sides: ts=5.89, su=2.94, tu=6.58)

Explanation:

Step1: Check for right angle

A right triangle has one angle of \(90^\circ\). In triangle \(TSU\), \(\angle S = 90^\circ\), so it has a right angle.

Step2: Verify angle sum (optional)

Sum of angles: \(27^\circ + 63^\circ + 90^\circ = 180^\circ\), which confirms it's a valid triangle.

Step3: Check side lengths (optional)

Using Pythagorean theorem: \(2.94^2 + 5.89^2 \approx 8.64 + 34.69 = 43.33\), and \(6.58^2 \approx 43.30\) (close due to rounding), consistent with right triangle.

Answer:

Right triangle (since it has a \(90^\circ\) angle at \(S\))