ΔPQR and ΔXYZ are such that ∠P = ∠X = 60°

MATHEMATICS · Single correct · CBSE · Mathematics · Triangles · Triangles

Problem

ΔPQR and ΔXYZ are such that ∠P = ∠X = 60°. The sides including these angles are PQ = 3 cm, PR = 4 cm and XY = 6 cm, XZ = 8 cm. What can be concluded about the two triangles? (a) △PQR≅△XYZ\triangle PQR \cong \triangle XYZ (b) Only the sides are proportional; no relation about angles can be made. (c) △PQR∼△XYZ\triangle PQR \sim \triangle XYZ (d) △PQR≁△XYZ\triangle PQR \not\sim \triangle XYZ because 34≠68\dfrac{3}{4}\neq\dfrac{6}{8}

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