True or False

An altitude of a triangle may fall outside the triangle

True

Explanation: Altitudes. In a triangle, a line segment from a vertex and perpendicular to the opposite side is called an altitude. ... If the triangle is obtuse, then the altitude will be outside of the triangle. If the triangle is acute, then the altitude will be inside the triangle

answer

explanation

the given equation is

we can rewrite this as:

let

then the equation becomes:

the factors of 8 that sum up to -9 are {-1,-8}

we split the middle term with these factors to obtain,

we factor by grouping to obtain:

apply the zero product property to get:

but

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