Thursday

February 26, 2015

February 26, 2015

Posted by **danielle** on Thursday, April 25, 2013 at 12:39am.

- math hw (algebra) -
**Reiny**, Thursday, April 25, 2013 at 9:29amI visualize a right angled triangle with sides

y, 400-y, and hypotenuse 300

There will be large numbers , so here is a little trick

let x be multiples of 100

so we have

x, 4-x, and 3 as the sides of a right-angled triangle

x^2 + (4-x)^2 = 3^2

x^2 + 16 - 8x + x^2 = 9

2x^2 - 8x + 7 = 0

x = (8 ± √8)/4

= 2.7071 or 1.2929

but x was a multiple of 100

so one leg was 270.71 , the other 400-270.71 or 129.29 m

or

one leg was 129.29 , then the other leg was 270.71

check

270.71^2 + 129.29^2 = 89999.8 or appr 90000 = 300^2

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