A triangle has sides of 5cm, 3.3 cm and 6 cm. What type of triangle is it: obtuse, acute or right-angled?
Answers
Step-by-step explanation:
▶Calculate the distance between the points (3, 2) and (2, 1). ▶A triangle has sides of 5 cm, 3.3 cm and 6 cm. What type of triangle is it: obtuse, acute or right-angled? (Sovle with full solutions)
▶Calculate the distance between the points (3, 2) and (2, 1). ▶A triangle has sides of 5 cm, 3.3 cm and 6 cm. What type of triangle is it: obtuse, acute or right-angled? (Sovle with full solutions)
The first question: the journey between the two co-ordinates can be made by 1 along and one up (or down, depending which one you start on). This gives a distance of √2.
Second question: it’s not a right triangle, but it’s very close (3.3^2 + 5^2 < 6^2). It actually comes to 35.89 rather than 36. As what would be the hypotenuse is slightly shorter than it would be in a perfect Pythagorean triple, this means that the angle that would have been 90 degrees is very slightly less than that, therefore an acute angle. This means that the other two angles must share the remaining degrees of 180–89 (approx) so 91 degrees left. There would need to be a huge disparity in those side lengths for either of them to be >90, so I reckon all angles are acut