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Please answer the attached question by selecting of the the given answers.

Please answer the attached question by selecting of the the given answers.-example-1
User BlitZ
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1 Answer

3 votes

Answer:

The correct answer is option A. Base = 11 cm and height = 13 cm

Explanation:

It is given that, height of a triangle is 2 cm more than its base.Then height is increased by 2 cm.Then the area of triangle becomes 82.5 cm²

To find the base an d height of original triangle

Let x be the original base 'b' then the height h = x + 2

New height h = x + 2 + 2 = x + 4

Area = bh/2

82.5= (x(x + 4)/2

165 = x² + 4x

x + 4x - 165 = 0

Solving we get x = 11 and x = -15

Take positive value x = 11

Therefore base = 11 and height = x + 2 = 13 cm

The correct answer is option A. Base = 11 cm and height = 13 cm

User Aboodrak
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