MCQ
The trianlge $\text{ABC}$ formed by $\ce{AB = 5\ cm, BC = 8\ cm, AC = 4\ cm}$ is:
- AAn isosceles triangle only.
- ✓A scalene triangle only.
- CAn isosceles right triangle.
- DScalene as well as a right triangle.
✓
Answer
Correct option: B.
A scalene triangle only.
$i.$ It’s not isosceles triangle as all the sides are of different measure.
$ii.$ It’s not right triangle, since it does not follow Pythagoras theorem.
$\Rightarrow 4^2 + 5^2 = 8^2$
$\Rightarrow 16 + 25 = 64$
$\Rightarrow 41\neq64 ($not satisfied$)$
Hence, it is scalane triangle as all the sides are of different measure.
$ii.$ It’s not right triangle, since it does not follow Pythagoras theorem.
$\Rightarrow 4^2 + 5^2 = 8^2$
$\Rightarrow 16 + 25 = 64$
$\Rightarrow 41\neq64 ($not satisfied$)$
Hence, it is scalane triangle as all the sides are of different measure.
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