SOLUTION: ΔABC has side lengths, in units, of AB=6, BC=7, and AC=10. The segment BD is an extension of side BC such that AD¯⊥CD¯ and AD≅5.9. https://cds.flipswitch.com/t

Algebra ->  Surface-area -> SOLUTION: ΔABC has side lengths, in units, of AB=6, BC=7, and AC=10. The segment BD is an extension of side BC such that AD¯⊥CD¯ and AD≅5.9. https://cds.flipswitch.com/t      Log On


   



Question 1064064: ΔABC has side lengths, in units, of AB=6, BC=7, and AC=10. The segment BD is an extension of side BC such that AD¯⊥CD¯ and AD≅5.9.
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The area of △ABC is approximately _____ units2.

Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
First, to find the length of DB, we get:
5.9²+DB²=6²=36
DB²=1.19
DB=1.091
Area ADB=1/2 (5.9)(1.091)=3.22
Area ADC=1/2 (5.9)(7+1.091)=23.87
Area ABC=23.87-3.22=20.65 units. ☺☺☺☺