Question

a triangle with sides of lengths 9 cm, 12 cm and 15 cm is a right triangle.
a true
b false

Explanation:

Step1: Recall Pythagorean theorem

For right triangles: $a^2 + b^2 = c^2$ (c is longest side)

Step2: Calculate squares of sides

$9^2 = 81$, $12^2 = 144$, $15^2 = 225$

Step3: Check theorem

$81 + 144 = 225$ → $9^2 + 12^2 = 15^2$

Step4: Conclusion

Satisfies Pythagorean theorem → right triangle.

Answer:

A. True