Question

13) The areas of two similar triangles ABC and
DEF are 144 cm² and 81 cm² respectively.
If the longest side of ABC measures
36 cm, then the longest side of
DEF
measures ........ cm.
olie on sides​

Answer 1

Answer:

The answer is 27 cm.

Step-by-step explanation:

If ABC and DEF are similar, the ratio of their corresponding sides are equal, and the ratio of their areas is equal to the square of their sides ratio.

so,

area. ABC/ area. DEF = 144/81

now, long. ABC/ long. DEF = square root of (144/81)

long. ABC is 36 cm , so,

36/long. DEF = 12/9

or, long. DEF = 36/(12/9)

or, long. DEF = 36 * 9/12

or, long. DEF = 27 cm.

Hope this helps.