Question

an umbrella is made by stitching 10 triangular peices of cloth of two different colours each measuring 20cm,50cm,50cm.how much cloth of each colour is required for the umbrella. please write this answer in notebook.​

Answer 1

Step-by-step explanation:

$a = 20 \\ b = 50 \\ c = 50 \\ s = \frac{a + b + c}{2} = \frac{20 + 50 + 50}{2} = \frac{120}{2} = 60 \\ \\ area \: of \: triangle \: = \sqrt{s(s - a)(s - b)(s - c)} \\ = \sqrt{60(60 - 20)(60 - 50) (60 - 50)} \\ = \sqrt{60 \times 40 \times 10 \times 10} \\ = \sqrt{3 \times 2 \times 10 \times 2 \times 2 \times 10 \times 10 \times 10} \\ = 10 \times 10 \times 2 \sqrt{6} \\ = 200 \sqrt{6} \: {m}^{2}$

each colour of cloth required =5x200√6=1000√6m²