Question

One side of a right angled triangle scarf is 80 cm and its longest side is 1 m find its cost at the rate of rupees 250 per metre square.

Answer 1

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