Mathematics: The height of a triangle is 3 feet more than it s base. if the area is 35 ft^2, what is the altitude of the triangle?

The height of a triangle is 3 feet more than it

Ответ:

mooreadrian412

14.03.2022

H - the height of a triangle
b = h - 3 - the base of a triangle

The formula of athe area of a triangle:

$A_\Delta=\dfrac{1}{2}bh$

substitute:

$\dfrac{1}{2}(h-3)h=35\ \ \ |\cdot2\\\\(h-3)h=70\\\\h^2-3h=70\ \ \ |-70\\\\h^2-3h-70=0\\\\h^2-10h+7h-70=0\\\\h(h-10)+7(h-10)=0\\\\(h-10)(h+7)=0\iff h-10=0\ \vee\ h+7=0\\\\h=10\ \vee\ h=-7 < 0$

The altitude of the triangle is equal 10 ft.

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Ответ:

tangia

19.11.2022

Mathematics

1.24

Step-by-step explanation:

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The height of a triangle is 3 feet more than it's base. if the area is 35 ft^2, what is the altitude of the triangle?

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