The area of a right-angled triangle is 18cm2, one of its sides is 6cm. Find the length of the other side.

Let’s denote the area S, sides a, b.

S = 18 cm ^ 2;

a = 6 cm;

b =? cm.

The area of a right-angled triangle is half the product of the legs (sides forming a right angle). S = (ab) / 2.

Substitute the known values: S = 18 cm ^ 2, a = 6 cm.

18 = (6 * b) / 2;

6 * b = 18 * 2;

6 * b = 36;

b = 36/6;

b = 6.

So the second leg is 6 cm.

Answer: 6 cm.



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