The segment QT will be equal to 9.6 units for the given triangles.
What is the similarity?
If two objects are having the same shape then they will be termed as similar. So in mathematics, if two figures have the same shapes, lines or angles then they are called similar.
The value of QT = x will be calculated by using the similarity property. It is given that the ΔPQR ~ Δ STR.
ST / TR = PQ / ( QT + QR)
30/36 = 38 / ( 36+X )
X = 9.6
Therefore the segment QT will be equal to 9.6 units for the given triangles.
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