In a triangle ABC, a =3, b=4 , c =5 cm. Find the area of the triangle.
2 answers:
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How about this (see attached image):
Use the four cuts as shown in the image (red lines).
Then assemble 5 equal squares by the numbers: 1 center square and the rest are pieced together using two pieces as shown. All five together add up to the same area as original square because we use all pieces.
The way one gets a hint toward a solution is to see how an area of a square of length 1 can be split into 5 equal square areas:
which indicates we need to find a a triangle with sides 2 and 1 to get the hypotenuse of the right length. That gave rise to the cut pattern (if you look carefully, there are triangles with those side lengths).
Hey! I'll provide the steps required.
First, solved the proportion by cross multiplication.
Then use the commutative property to reorder the terms as well as multiply the numbers.
90x = 9720
Finally, divide it by 90.
x = 108
First, solved the proportion by cross multiplication.
Then use the commutative property to reorder the terms as well as multiply the numbers.
90x = 9720
Finally, divide it by 90.
x = 108