Find the area and height of a triangle 20cm 20cm 14cm

A = 131.145 cm^2

Step-by-step explanation:

For this problem, we can see that this is an isosceles triangle.  This can be observed from two equal lengths.  Using this, let's apply the formula for the area of a triangle.

A = ( 1/2 ) * b * h

Note, we can say the base, b, is equal to 14 cm.  We simply need to find the height.  Using the idea of splitting the triangle into two right triangles, we can say the following based on the pythagorean theorem:

20^2 = (14 / 2)^2 + h^2

400 = 49 + h^2

400 - 49 = h^2

351 = h^2

18.735 = h

A = ( 1/2 ) * 14cm * 18.735cm

A = 131.145 cm^2

Hence, we have found the area of the triangle.

Cheers.

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