An easy method to find area of triangle.

consider the base to be 21 cm and the other two sides to be 17 cm and 10 cm. now draw an altitude of z cm. the altitude divides the base into x and y cm. Using Pythagoras theorem, x^2 +z^2=289.(1) y^2+z^2=100.(2) subtracting 2 from 1 we get x^2-y^2=189. (x+y)(x-y)=189. we know (x+y)=21, therefore (x-y)=9. from that we get x=15 and y=6. with that we find that z=8. therefore area= 1/2 * 8* 21=84 cm squared. I feel this is easier than heron's formula. with some practice, this will become a very effective and fast method for finding area of any triangle with only it's sides given.

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Comments

Wow, nice findings.

Damiann Mangan - 7 years, 3 months ago

Nice

Anish Puthuraya - 7 years, 3 months ago

Very nice :)

Karthik Kannan - 7 years, 3 months ago

Nice work :)

Hariharan Ramshankar - 7 years, 2 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$