Question

Beside links of triangle ABC are listed below which they meant about triangle ABC is true? Is the correct option A, B, C, or D?

Answer 1

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;

`AC^2=12^2=144`

Take the sum of the square of the other two sides;

`\begin{gathered} AB^2+BC^2=7^2+6^2 \\ AB^2+BC^2=49+36 \\ AB^2+BC^2=85 \end{gathered}`

Since AC² ≠ AB² + BC², hence the triangle ABC is not a right triangle.