Question
Work out the scal e fac tor o f the enlar geme nt of a) trian gle A t o trị angl e B. b) triang le A to trian gle C.
Answer
4.5
(165 Votes)
Jaya
Master · Tutor for 5 years
Answer
a) The scale factor of the enlargement of triangle
to triangle
:
b) The scale factor of the enlargement of triangle
to triangle
:
(Here
are lengths of corresponding sides in triangle form which it's been calculated)Please note that actual numeric values for enlargement would depend on measures given to you in a real problem. As no measures are provided here, expressed in terms of symbolic lengths
. Change these symbols with real numerical measures when you prolong.
Explanation
## Step 1: First, we need to understand that the "scale factor" is the ratio of the lengths of the corresponding sides of the two similar triangles. That means, it is ratio of the length of a side in Triangle B by corresponding side's length in Triangle A. Hence if 'x' and 'y' are corresponding sides in Triangle A and B,### \( Scale\ factor\ (A / B) = \frac { Side\ in\ B } { Corresponding\ side\ in\ A } = \frac { y } { x } \) ## Step 2: Similarly, for the "scale factor" from Triangle
to Triangle
, you simply need to make a ratio of one of the sides of Triangle
to the same corresponding side in Triangle
. Hence if 'p' is the corresponding side in Triangle C for 'x' in Triangle A, ### \( Scale\ factor\ (A / C) = \frac { Side\ in\ C } { Corresponding\ side\ in\ A } = \frac { p } { x } \)