Answer:
Hypotenuse^2 = opposite^2 + adjacent^2
Explanation:
The diagram of the triangle has been attached to the solution.
Side length of the triangle: 18.5, 15.5, 10
To prove a right angle triangle, we would apply Pythagoras theorem
Hypotenuse^2 = opposite^2 + adjacent^2
Hypothenus is the longest side of a right angle triangle
Opposite is the length facing the angle theta at the base. Also referred to as the perpendicular
Adjacent is the base
Hyp^2 = opp^2 +adj^2
Hyp^2 = 18.5inches , opp= 15.5inches, adj= 10 inches
Hyp^2 = 18.5^2 = 342.25
opp^2 +adj^2= 15.5^2 + 10^2
= 100+240.25 =340.25
342.25 is not equal to 340.25
Since Hyp^2 is not equal to (opp^2+adj^2), it is not a right-angled triangle.
Except there is an error with the figures in the question, the lengths given in the triangle would not give a right angle triangle.
