Question 1094181
<br>The side of the blue triangle is 2 inches more than the base; and the side and base are in the ratio 3:2.  So
{{{(x+2)/x = 3/2}}}<br>
You could solve the problem by solving that equation algebraically.<br>
You could also solve it with less effort if you realize that all you need to do is find a fraction equivalent to 3/2 which has a numerator 2 larger than the denominator.<br>
In the fraction 3/2, the numerator is 1 more than the denominator; what can you do to the fraction to get an equivalent fraction with the numerator 2 more than the denominator?