Practicing Success
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: |
19.44 32.4 21.75 15.64 |
19.44 |
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 \( {cm }^{2 } \). |