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Q.2)Prove that the points (-3, 0), B(1, -3) and C(4, 1) are thevertices of an isosceles right-angled triangle. Find the area of this triangle. |
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Answer» AB=root(16+9)=root(25)=5BC=root(9+16)=root(25)=5=ABAC=root(49+1)=root(50)=5root(2)so AB^2+BC^2=AC^2so these are the vertices of isosceles right angled trianglebase and height is AB and BCso area=1/2×5×5=25/2=12.5 |
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