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Ede4ka [16]
1 year ago
7

The base of a triangle is 3 inches more than 2 times the height. If the area of the triangle is 76 square inches, find

Mathematics
1 answer:
Sedbober [7]1 year ago
6 0

Height is h = 8 and base  = 19 inch in triangle .

What Does a Triangle's Area Mean?

  • The space bounded by a triangle's three sides is known as the area of a triangle.
  • Depending on the type of triangle, it is computed using a variety of methods and expressed in square units like cm2, inches2, and so forth.

Area of a triangle whose base is b and height is h is =1/2 * b * h

Let the height of given triangle be h inch and as base of a triangle is 3 inch greater than the height, base is ( 2h + 3)

b = 2h + 3

Hence, its area is 1/2 × h ×  (2h + 3 ) = 76 inch²

So,   1/2 × h × (2h + 3)  = 76

       2h² + 3h  = 76 × 2

       2h² + 3h - 152 = 0

       2h² + 19h - 16h - 152 = 0

       h( 2h + 19 ) -8 (2h + 19) = 0

        (h-8) ( 2h - 19)

 now   h = 8    and  h = -19/2  but height of triangle cannot be negative.

Hence height is h = 8 and base = 2 * 8 + 3 = 19 inch

Learn more about Area of a Triangle

brainly.com/question/19305981

#SPJ9

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