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HELP ITS GEOMETRY find the area!!!

HELP ITS GEOMETRY find the area!!!-example-1
User Daniel Schmitz
by
2.7k points

1 Answer

23 votes
23 votes

Answer:

area is 192, h is 16.

Explanation:

First, split the triangle down H to get two right triangles, this is so we can find H. The bottom line is now 12 inches, while the right side is still 20. Attached picture shows what I mean.

Next, use the pythagorean theorem to find H. The pythagorean theorem is a^2 + b^2 = c^2, where C is opposite the right angle (Pythagorean theorem ONLY works on right triangles.). a is the unknown in theorem, H is your unknown, a = H.

b^2 = 12^2 = 144

c^2 = 20^2 = 400

Now, plug in our variables to the theorem.

a^2 + 144 = 400.

Isolate the variable.

a^2 = 256.

find the square root of both sides.

a = 16.

Now, we know H is equal to 16. All that's left is to use the equation for area of a triangle: area = 1/2(base*height)

area = 1/2(24*16)

area = 1/2(384)

area = 192.

Remember, Pythagorean theorem is ONLY useful on right triangles! I wish you luck in geometry! :)

HELP ITS GEOMETRY find the area!!!-example-1
User Jszobody
by
3.0k points