Home >
Triangles >
CBSE >
90770678-5cae-4aa3-b042-a6ffea82eb8e
Not the exact question you were looking for?
Paste your question to our Mathbee AI Mentor below to get an instant step-by-step solution.
Triangles
NCERT Exemplar
CBSE
Grade 10
Question:
In figures, $\Delta ABC \sim \Delta PQR$. If $AD$ and $PS$ are medians of $\Delta ABC$ and $\Delta PQR$ respectively, then $\dfrac{AD}{PS}$ is equal to: (a) $\dfrac{AB}{PQ}$ (b) $\dfrac{BC}{QR}$ (c) $\dfrac{AC}{PR}$ (d) All of the above
Step-by-Step Solution
Key Concept: The ratio of corresponding medians of two similar triangles is equal to the ratio of their corresponding sides.
Ratio of corresponding medians equals scale factor of similar triangles. [0.5 Mark] Thus $\dfrac{AD}{PS} = \dfrac{AB}{PQ} = \dfrac{BC}{QR} = \dfrac{AC}{PR}$. [0.5 Mark]
--- 🎯 Official CBSE Marking Scheme: Recalling median ratio theorem for similar triangles: 0.5 Mark Selecting All of the above: 0.5 Mark
Correct Answer:All of the above
Mathbee AI Mentor (Free Demo)
Confused by the solution? Ask the AI to explain a specific step, tell you where you went wrong, or break down the key trap in this question.
Master Triangles with Mathbee
Practice this topic under real exam conditions with strict timers, or ask our AI Mentor to explain the concepts step-by-step.