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sveticcg [70]
2 years ago
15

M∠=6, m∠=+20, and m∠=40+3. List the sides of △ in order from shortest to longest.

Mathematics
1 answer:
oksian1 [2.3K]2 years ago
7 0

Answer:

m∠=6, ,m∠=+20,m∠=40+3

the larger the angle, the larger the side

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In △ABC, point D∈ AC with AD:DC=4:3, point E∈ BC so that BE:EC=1:5. If ACDE=5 in2, find ABDC, AABD, and AABC.
Kaylis [27]

Answer:

ar ΔBDC=6 in^2

ar ΔABD=8 in^2

ar ΔABC=14 in^2

Explanation:

Please take a look of attach figure.

We are given area of triangle ar ΔCDE=5 in^2

ar ΔCDE=\frac{1}{2}\times DN\times EC------------(1)

ar ΔBDE=\frac{1}{2}\times DN\times BE------------(2)

Divide eq(2) by eq(1) and we get,

\frac{ar\ ΔBDE}{ar\ ΔCDE}=\frac{BE}{EC}

\frac{ar\ ΔBDE}{5}=\frac{1}{5}

So, ar ΔBDE=1 in^2

ar ΔBDC=ar ΔBDE+ ar ΔCDE

ar ΔBDC=1+5 = 6 in^2

Similarly,

\frac{ar\ ΔABD}{ar\ ΔBDC}=\frac{AD}{DC}

\frac{ar\ ΔABD}{6}=\frac{4}{3}

ar ΔABD=8 in^2

ar ΔABC=ar ΔABD + ar ΔBDC

ar ΔABC=8+6 = 14 in^2

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3 years ago
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\frac{3}{4}

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Pythagoras in HBC : HC=\sqrt{HB^2-BC^2}=\sqrt{20^2-12^2}=16in

Pythagoras in HDC : HD=\sqrt{HC^2-CD^2}=\sqrt{16^2-14^2}\approx\boxed{7.7 in}
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Answer: 168 sq. in.

Step-by-step explanation: the shape is a cubiod the volume is lbh=3*7*8=168

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20+0.50x
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