Without using the Pythagoras theorem, show that the points (4, 4), (3, 5) and (–1, –1) are the vertices of a right angled triangle

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The vertices of the given triangle are A (4, 4), B (3, 5), and C (–1, –1). It is known that the slope (m) of a non-vertical line passing through the points (x1, y1) and (x2, y2) is given by. ∴Slope of AB (m1) Slope of BC (m2) Slope of CA (m3) It is observed that m1m3 = –1 This...
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The vertices of the given triangle are A (4, 4), B (3, 5), and C (–1, –1). It is known that the slope(m) of a non-vertical line passing through the points (x1,y1) and (x2,y2) is given by. ∴Slope of AB (m1) Slope of BC (m2) Slope of CA (m3) It is observed thatm1m3= –1 This shows that line segments AB and CA are perpendicular to each other i.e., the given triangle is right-angled at A (4, 4). Thus, the points (4, 4), (3, 5), and (–1, –1) are the vertices of a right-angled triangle. read less
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