Question

Give the sides lengths of a triangle that would be obtuse and show the math work toprove that it is obtuse .

Answer 1

side1:3 units

side2: 4 units

side 3: 6 units

Step-by-step explanation

If one angle is greater than 90° and the other two angles are lesser along with their sum being lesser than 90°, we can say that the triangle is an obtuse,so

`\angle A>90\text{ \degree}`

also, if the sum of the squares of the two shorter sides of a triangle is smaller than the square of the longest side, the triangle is obtuse

so we can have the lengths.

`c^2+b^2so,let ( I choose these numbers)[tex]\begin{gathered} c=3 \\ b=4 \\ a=6 \end{gathered}`

now, replace to check (prove)

[tex]\begin{gathered} c^2+b^2so, the lengths are of the obtuse triangle

3, 4 and 6 units

I hope this helpsyou