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In the diagram below, ∆PRQ ∼ ∆DEF. Find each of the following. m∠P DE FE m∠D m∠R the scale factor of ∆PRQ ∼ ∆DEF

In the diagram below PRQ DEF Find each of the following mP DE FE mD mR the scale factor of PRQ DEF class=

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jasdul1375

Answer:

see below

Step-by-step explanation:

Corresponding angles of similar triangles are equal and corresponding sides are proportional so:

m ∠P = m ∠D = 180° - (35° + 89°) = 56°

m ∠Q = m ∠F = 89°

m ∠ R = m ∠E = 35°

PR/DE =PQ/DF

40/DE = 20/24 cross multiply and solve for DE

DE = 40*24/20

DE = 48

scale factor is DF/PQ = 24/20 = 6/5 so  FE = 6/5 *RQ =6/5 *36 = 43.2

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