The area of a right-angled triangle is 42 cm² . If the length of one of its two sides containing the right angle is 10 cm, find the length of the other side that contain the right angle.

8.4 cm

We know that,

Area of right angled triangle = \(\frac{1}{2}\) × Base × Height

We have,

Area of right-angle triangle = 42 cm²

Length of one side = 10 cm

= 42 = \(\frac{1}{2}\) × 10 × Length of other side

= Length of the other side = \(\frac{42}{5}\) = 8.4 cm