Question

determine the type of triangle that is drawn below.
answer
scalene acute
isosceles right
isosceles acute
isosceles obtuse
scalene obtuse
equilateral
scalene right

Explanation:

Step1: Check side lengths

A scalene triangle has all sides of different lengths. Here, \(4.9
eq7.45
eq9.18\), so it's scalene.

Step2: Check angle type

Use the Pythagorean theorem. Let \(a = 4.9\), \(b=7.45\), \(c = 9.18\).
Check \(a^{2}+b^{2}\) and \(c^{2}\).
\(a^{2}+b^{2}=4.9^{2}+7.45^{2}=24.01 + 55.5025=79.5125\)
\(c^{2}=9.18^{2}=84.2724\)
Since \(a^{2}+b^{2}

Answer:

Scalene Obtuse