Question

find the area of the triangle with measurement as marked​

Answer 1

Step-by-step explanation:

triangle area= (1/2)*base*height

here,

(1/2)*(2x+3)*2*(2x-3)

=(2x+3)(2x-3)

=4x²-9

Answer 2

Answer

4x² - 9

Given:

• Base of the triangle = 2x + 3
• Height of the triangle = 2(2x - 3)

To Find:

• Area of the triangle

Solution:

Area of a triangle = 1/2 × Base × Height

➞ 1/2 × ( 2x + 3 ) × 2( 2x - 3 )

➞ ( 2x + 3 ) ( 2x - 3 )

Identity: ( a + b ) ( a - b ) = a² - b²

➞ ( 2x )² - ( 3 )²

➞ 4x² - 9

4x² - 9 is the area of the triangle

More:

Two triangles form a parallelogram. So area of a triangle is half the area of a parallelogram with the same height and base as the triangle. Area of parallelogram = b × h, Area of a triangle = 1/2 × b × h