The value of x is 81 since similar triangles have equal ratios of corresponding sides.
Given:
PQ ǁ MN
OQP= N
QPO= M
ΔOQP=ΔONM
OP/OM=OQ/ON
45/X=40/72
X= (72×45)/40
X=81
If two figures have the same shape, they are said to be comparable. In more formal terms, two figures are said to be comparable if their respective angles are congruent and their corresponding side length ratios are identical. The scale factor is the name of this usual ratio.
Therefore, the value of X is calculated as 81.
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