Mathematics: What is the total area of this figure ( _ _ _ + _ _ sqrt _)

What is the total area of this figure ( _ _ _ - id149118, michaelchavez6959127

Ответ:

niyahdabadest

10.03.2022

Mathematics

Look at the picture.

We have in a base an equilateral triangle.

The formula of the area of an equilateral triangle:

$A_B=\dfrac{a^2\sqrt3}{4}$

We have a = 12. Substitute:

$A_B=\dfrac{12^2\sqrt3}{4}=\dfrac{144\sqrt3}{4}=36\sqrt3$

The lateral side is a isosceles triangle. The formula of the area of a triangle is:

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

We must calculate the length of h using the Pythagorean theorem:

h^2+6^2=10^2

h^2+36=100 subtract 36 from both sides

$h^2=64\to h=\sqrt{64}\to h=8$

We have b = 13 and h = 8. Substitute:

$A_\triangle=\dfrac{1}{2}(12)(8)=(6)(8)=48$

The Total Area:

$T.A.=A_B+3A_\triangle$

Substitute:

$T.A.=36\sqrt3+3(48)=\boxed{144+36\sqrt3}$

What is the total area of this figure ( _ _ _ + _ _ sqrt _)

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Ответ:

dareaalcaam111

04.01.2022

Mathematics

Schools and Courts

Explanation:

Education is primarily a State and local responsibility in the United States. ... of all kinds, that establish schools and colleges, develop curricula, etc

Supreme Court and gives Congress the authority to create the lower federal courts

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What is the total area of this figure ( _ _ _ + _ _ sqrt _)

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