in a triangle the height is double the base and the area is 400 square cm find the measure of the base and height of the triangle​

2 thoughts on “in a triangle the height is double the base and the area is 400 square cm find the measure of the base and height of the triangle​”

1. Step-by-step explanation:

   in a triangle the height is double the base and the area is 400 square cm find the measure of the base and height of the triangle

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2. Answer:

   Area of triangle Formula – 1/2×b×h

   Let,

   Base -x

   and Height – 2x

   Now,

   [tex] \frac{1}{2} \times x \times 2x = 400[/tex]

   [tex] \frac{ {2x}^{2} }{2} = 400[/tex]

   [tex] {x}^{2} = 400[/tex]

   [tex]x = \sqrt{400} [/tex]

   [tex]Therefore \: x = \: 20[/tex]

   Base = x = 20

   and height = 2x = 2×20 = 40

   By solving we get Base as 20 cm and height as 40 cm

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