Coordinate Geometry
CH07 Question Bank
CBSE_CH07_QUESTION_BANK
Grade 10
Question:
Show, using the distance formula, that the triangle with vertices $(1,1)$, $(4,1)$, and $(4,5)$ is right-angled.
Step-by-Step Solution
Key Concept: Compute all three sides and check the Pythagorean relation.
$AB=3,\ BC=4,\ AC=5$ (computed directly from coordinates, since two sides are horizontal/vertical). [1.0 Mark]
Since $AB^2+BC^2=9+16=25=AC^2$, the triangle is right-angled, with the right angle at $B$. [1.0 Mark]
Correct Answer:
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