Question

If the scale factor of figure A to figure b is 4:5 find the value of x

Answer 1

The value of x if the scale factor of figure A to figure B is 4:5 is; x = 12

We are given the scale factor of figure A to figure B as 4:5.

By use of similar triangles theorem, we can deduce that the ratio of corresponding sides of figure A to corresponding sides of figure B must be equal to 4:5.

Now, looking at both triangles, we can say that;

x:15 = 4:5

Thus,we can write in fraction as;

x/15 = 4/5

x = 15 × 4/5

x = 12

In conclusion, the value of x from the given proportion between both triangles is 12.