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ANSWER IS √13+8
ALTITUDE MEANS PERPENDICULAR TO BASE
IF CORRECT APPROVE PLZZZZZZZZ
We have in the triangle, AB=10 AC=7 and AD=6
we know AD is perpendicular to BC
consider triangle ABD
applying pythagorus theorem,
AB2=AD2+BD2
BD2=AB2-AD2
= (10)2-(6)2
=100-36
=64
BD =8(as it cannot be a negative number)
now consider triangle ACD
CD2=AC2-AD2
=(7)2-(6)2
=49-36
=13
CD=√13
therefore BC=BD+CD
=8+√13
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