Question

in the figure 11.14 hp is equal to 5 cm QR is equal 9 CM the area of the largest triangle is 50 cm what is the area of shaded region

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Answer 1

1. Area of the shaded region will be area of the large triangle - area of the small triangle.
2. Area of the large triangle PQR= 50 cm sq.
3. In small triangle SQR :- triangle STR = × triangle SQT.
4. Area of triangle STR = 1/2 × 4.5 ×5
5. $area \: of \: right \: angled \: triangle = \frac{1}{2} \times b \times h$
6. Area of triangle STR = 45/4 cm sq.
7. Area of triangle SQR =45/4 ×2 = 45/2 cm
8. Area of shaded region = area of large triangle - area of small triangle.
9. Area of shaded region = 50 - 45/2

• 55/2 = 27.5 cm sq.
• Answer = 27.5 cm sq. unit