galayeet
29.08.2020 •
Mathematics
in triangle DEF and triangle PQR where DE is 2cm ,EF is 3cm, angle DEF is 60 and PQ is 6cm ,QR is 9cm, and angle PQR is 60 show that these are similar triangle with the appropriate criteria
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Ответ:
ΔDEF is similar to ΔPQR by SAS similarity rule
Step-by-step explanation:
Two triangles are similar if their corresponding angles are congruent and corresponding sides are proportional.GivenΔDEF, with details:
DE = 2 cm, EF = 3 cm, ∠DEF = 60°ΔPQR , with details:
PQ = 6 cm, QR = 9 cm, ∠PQR = 60°As we see, the ratio of corresponding sides is:
DE/PQ = EF/QR ⇔ 2/6 = 3/9 = 1/3And corresponding angles are:
∠DEF = ∠PQR = 60°Therefore, ΔDEF is similar to ΔPQR by SAS similarity rule
Ответ:
ok
Step-by-step explanation: