one side of a right angled triangular scarf is 80 cm and its longest side is 1 m find its cost at the rate of rupees 250 per metre square
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Solution:- Let there is a right angled triangle with sides AC, AB and BC and AC be the longest side of this triangle. So, in Δ ABC AC = 1 m, AB = 80 cm or 0.8 m and BC = ? AC² = AB² + BC² (1)² = (0.8)² = (BC)² (BC)² = 1 - 0.64 (BC)² = 0.36 BC = 0.6 m Now, the area of the triangle = 1/2 × Base × Height = 1/2 × 0.6 × 0.8 Area of triangle = 0.24 sq m Cost of scarf = 250 × 0.24 = Rs 60 (Answer)
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