Answer:
Triangle ABC is not a right triangle.
Explanations:
According to the given question, we are to determine whether the triangle ABC is a right-angled triangle or not.
Given the following measure of the sides of the triangle ABC
• AB = 7mm
,
• AC = 12mm
,
• BC = 6mm
For us to know whether the triangle is right-angled, we must check whether the square of the longest side is equal to the square of the sum of other two sides
Since longest side = AC = 12mm, take the square;
[tex]AC^2=12^2=144[/tex]
Take the sum of the square of the other two sides;
[tex]\begin{gathered} AB^2+BC^2=7^2+6^2 \\ AB^2+BC^2=49+36 \\ AB^2+BC^2=85 \end{gathered}[/tex]
Since AC² ≠ AB² + BC², hence the triangle ABC is not a right triangle.
