The area of a right-angled triangle is 42cm. “, And one of its sides forming a right angle is 7cm.

The area of a right-angled triangle is 42cm. “, And one of its sides forming a right angle is 7cm. Find the other side of this angle.

First of all, we write down the formula for calculating the area of a right-angled triangle:

S = (a * b) / 2,

where S is the area of a right-angled triangle;
a and b are his legs.

Since in the proposed problem we are given the area of a right-angled triangle and the length of one of its legs, we can substitute all known data into the indicated formula, and then express the second leg from it and calculate its value:

42 = (6 * b) / 2 | * 2;
84 = 6 * b;
b = 84: 6 = 14 (cm).

Answer: the second leg will be 14 cm.