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
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