Plot the points A (1, -1), B (-1, 4) and C (-3, -1) on a graph paper to obtain the triangle ABC. Give a special name to the triangle ABC and, if possible, find its area.

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Solution

ABC is an isosceles triangle and lengths of sides $A B = B C = \sqrt{29} u n i t s$
Now, area of the triangle $= \frac{1}{2} \times b a s e \times h e i g h t = \frac{1}{2} \times 4 \times 5 = 20 s q u n i t s$ (Since, base is distance between A and C and height is the distance between B and the base AC

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Plot the points A (1, -1), B (-1, 4) and C (-3, -1) on a graph paper to obtain the triangle ABC. Give a special name to the triangle ABC and, if possible, find its area.

ABC is an isosceles triangle and lengths of sides AB=BC=√29units Now, area of the triangle =12×base×height=12×4×5=20squnits (Since, base is distance between A and C and height is the distance between B and the base AC