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3 years ago

What is required for two triangles to be similar?

Mathematics

1 answer:

BartSMP [9]3 years ago

4 0

Answer:

1.the corresponding angles are propositional

2.the corresponding sides are proportional

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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

$A_{2}=\frac{\sqrt{3} }{4} (0.8a)^{2}$

$A_{2}=\frac{\sqrt{3} }{4} 0.64a^{2}$

Now, comparing areas:

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

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

The area of ΔABC is 2.25x greater than the area of ΔDEF.

7 0

3 years ago

Carlos mixed 4/15 L of chocolate syrup 1/2 L of milk

mojhsa [17]

Answer:

23/30 L

Step-by-step explanation:

4/15=8/30

1/2=15/30

8+15=23/30

8 0

2 years ago

What equation represents the model shown below?

g100num [7]

Given:

The algebra tiles of an equation.

To find:

The equation represented by the given model.

Solution:

On the left side of the model we have 4 tiles of (-x) and 3 tiles of (-1). So,

$LHS=(-x)+(-x)+(-x)+(-x)+(-1)+(-1)+(-1)$

$LHS=-4x+(-3)$

$LHS=-4x-3$

On the right side of the model we have 8 tiles of (-1). So,

$RHS=(-1)+(-1)+(-1)+(-1)+(-1)+(-1)+(-1)+(-1)$

$RHS=-8$

Now, equate the LHS and RHS to get the equation.

$-4x-3=-8$

Therefore, the equation for the given model is $-4x-3=-8$ .

7 0

2 years ago

Please help me with this question

lianna [129]

Answer:

Step-by-step explanation:

3 0

3 years ago

The sum of two numbers is 52. The greater number is 4 more than the smaller number. Which equation can be used to solve for the

Gnesinka [82]

One option for the final answer is 30 and 22...
I think I would use the second answer that you provided

5 0

3 years ago