Question

A triangle has base (x + 2)cm and height (7 - x) cm, equation for area is .. plz ans

Answer 1

Answer:

Step-by-step explanation:

Area of a triangle= 1/2×b×h

= 1/2× (x+2)(7-x)

=1/2(7x-x^2+14-2x)

Answer 2

It is given that the base of the triangle is ( x + 2 ) cm and the height of the same triangle is ( x - 7 ) cm.



From the properties of triangle, we know :

$\mathsf{Area\:of\: triangle=\dfrac{1}{2}\times base \times base}$



On the basis of the formula given above,


Area of this triangle = ( 1 / 2 ) x base x hieght


Area of the triangle = - ( 1 / 2 ) x ( x + 2 ) x ( x - 7 ) cm²


Area of the triangle = - ( 1 / 2 ) x [ x( x - 7 ) + 2( x - 7 ) ] cm²


Area of the triangle = - 1 / 2 x ( x² - 7x + 2x - 14 ) cm²


= - 1 / 2 x ( x² - 5x - 14 ) cm²



Hence,
An equation on the basis of the given measurements for the area of the is - ( x² - 5x - 14 ) / 2 cm² or ( - x² + 5x + 14 ) / 2 cm²
$\:$