The area of a triangle with a height of 9 cm and a base of 6 cm is

27 cm²

Step-by-step explanation:

Formula of Area Triangle = 1/2(base x height)

Base = 6 cm

Height = 9 cm

1/2 ( 6 x 9 ) = 1/2 ( 54 ) = 27

Units = cm * cm = cm²

27 cm²

Why the formula (1/2 ( base x height )) works:

Take a triangle

Duplicate the triangle

And rotate the triangle and put it next to the other one

What shape does it form?

Either a parallelogram or a rectangle

The formula for a parallelogram or rectangle is (base x height)

Since you are initially doubling the area of the triangle to get the rectangle, solve for the rectangle and divide by 2.

So, do base x height

And divide by 2

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-Chetan K

2

step-by-step explanation:

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the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation: