The lengths of three sides of a triangle are in the ratio 3 : 4 : 5. Among three sides, the difference between the largest side and the smallest side of this triangle is 3.6 cm. The area (in cm2 ) of the triangle is:
Answer & explanation
Correct answer: option 1
A : B : C
3 : 4 : 5
⇒ These are Pythagorean triplets,
⇒ Hence, Area = \(\frac{1}{2}\) x base x height = \(\frac{1}{2}\) × 3x × 4x
⇒ According to the question = (5 - 3) units = 3.6 cm
⇒ 2 units = 3.6
⇒ 1 units = 1.8 cm
Putting in area formula,
⇒ \(\frac{1}{2}\) x 3(1.8) x 4(1.8) = \(\frac{1}{2}\) x 5.4 x 7.2 = 19.44 \( {cm }^{2 } \).