Solution: (d) 100° Explanation: From triangles APB and CPD, $\angle APB\text{ }=~\angle CPD\text{ }=\text{ }50{}^\circ $ (as they are vertically opposite angles) $AP/PD\text{ }=\text{ }6/5$ … (i)...
Exercise 6.1
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If in two Δ PQR, AB/QR = BC/PR = CA/PQ, then (a)Δ PQR~Δ CAB (b) Δ PQR ~ Δ ABC (c)Δ CBA ~ Δ PQR (d) Δ BCA ~ Δ PQR
Solution: (a)Δ PQR~Δ CAB Explanation: From triangles ABC and PQR, we have, AB/QR = BC/PR = CA/PQ When the sides of one triangle are proportional to the sides of the other given triangle, and even...
If ΔABC ~ ΔEDF and ΔABC is not similar to ΔDEF, then which of the following is not true? (a) BC · EF = AC · FD (b) AB · EF = AC · DE (c) BC · DE = AB · EF (d) BC · DE = AB · FD
Solution: (c) BC · DE = AB · EF Explanation: We all know that, If the sides of one triangle are proportionate to the sides of the other triangle, and the corresponding angles are all equal, the...
If the lengths of the diagonals of rhombus are 16 cm and 12 cm. Then, the length of the sides of the rhombus is (a) 9 cm (b) 10 cm (c) 8 cm (d) 20 cm
Solution: (b) 10 cm Explanation: We all know that, A rhombus is a simple quadrilateral with four equal-length sides and diagonals that are perpendicular bisector of each other. Now according to the...