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Citrus2011 [14]
3 years ago
6

What is the length of side AC of the triangle?

Mathematics
2 answers:
Romashka-Z-Leto [24]3 years ago
8 0
By converse of isosceles triangle theorem, 5x+5=7x-1

5x+5=7x-1
-5x+5x+5=7x-5x-1
5=2x-1
5+1=2x-1+1
6=2x
6/2=2/2x
X=3

AC=6x+7 when x=3

6x+7=6 (3)+7=18+7=25

AC=25
saul85 [17]3 years ago
8 0
6x+7+5x+5+7x-1=180 combine all like terms 6x+5x+7x=18x 7+5-1=11 rewrite 18x+11=180 subtract 11 from both sides 169 rewrite 18x=169 divide 18 from both sides witch is 9 x=9 plug 9 in for x 6(9)+7=54+7=61 AC=61
Hopes this helps and i hope this is right have a nice evening
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The length of each side of an equilateral triangle is increased by 20%, resulting in triangle ABC. If the length of each side of
kompoz [17]

Answer: Area of ΔABC is 2.25x the area of ΔDEF.

Step-by-step explanation: Because equilateral triangle has 3 equal sides, area is calculated as

A=\frac{\sqrt{3} }{4} a^{2}

with a as side of the triangle.

Triangle ABC is 20% bigger than the original, which means its side (a₁) measures, compared to the original:

a₁ = 1.2a

Then, its area is

A_{1}=\frac{\sqrt{3} }{4}(1.2a)^{2}

A_{1}=\frac{\sqrt{3} }{4}1.44a^{2}

Triangle DEF is 20% smaller than the original, which means its side is:

a₂ = 0.8a

So, area is

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\frac{A_{1}}{A_{2}}= (\frac{\sqrt{3}.1.44a^{2} }{4})(\frac{4}{\sqrt{3}.0.64a^{2} } )

\frac{A_{1}}{A_{2}} = 2.25

<u>The area of ΔABC is </u><u>2.25x</u><u> greater than the area of ΔDEF.</u>

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