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Q4. Find the missing values:
Base Height Area of Triangle
(a) 15 cm
87 cm?
(b)
31.4 mm
1256 mm
(c) 22 cm
170 cm
Sol. (a) Given, base (b) = 15 cm
and area of triangle = 87 cm
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Answer:
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Explanation:
(a) Given, Base = 15cm, Area of triangle = 87 cm^2, Height = ?
Area of triangle = 1 /2×Base× Height
Or, 87 = 1/2 * 15 * height
∴ height = 87 * 2 / 15 = 11.6 cm
(b) Given, Height = 31.4 mm, Area of triangle = 1256 mm2, Base = ?
Area of triangle = 1 /2×Base× Height
Or, 1256 = 1/2 * Base * 31.4
∴ base = 1256 * 2 / 31.4 = 80 mm
(c) Given, Base = 22cm, Area of triangle = 170.5 cm2, Height = ?
Area of triangle = 1 /2×Base× Height
Or, 170.5 = 1/2 * 22 * height
∴ height = 170.5 * 2 / 22= 15.5 cm
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