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artcher [175]
3 years ago
10

I need some help with perimeters of triangles

Mathematics
1 answer:
Gennadij [26K]3 years ago
5 0
36 inhes ..........................................

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What is the ratio of the area of the inner square to the area of the outer square?
Anastasy [175]

Answer:

\frac{(a-b)^2+b^2}{a^2}

Step-by-step explanation:

Since, By the given diagram,

The side of the inner square = Distance between the points (0,b) and (a-b,0)

=\sqrt{(a-b-0)^2+(0-b)^2}

=\sqrt{(a-b)^2+b^2}

Thus the area of the inner square = (side)²

=(\sqrt{(a-b)^2+b^2})^2

=(a-b)^2+b^2\text{ square cm}

Now, the side of the outer square = Distance between the points (0,0) and (a,0),

=\sqrt{(a-0)^2+0^2}

=\sqrt{a^2}=a

Thus, the area of the outer square = (side)²

=a^2\text{ square cm}

Hence, the ratio of the area of the inner square to the area of the outer square

=\frac{(a-b)^2+b^2}{a^2}

4 0
2 years ago
Read 2 more answers
A right triangle has an area of 18 The length of each leg is 6 inches. If the triangle is not an isosceles triangle, what are al
ladessa [460]

Given:

Area of a right triangle = 18 sq. inches

Length of one leg = 6 inches

To find:

The length of another leg.

Solution:

We know that, the area of a triangle is

A=\dfrac{1}{2}\times base\times height

In a right angle triangle, the area of the triangle is

A=\dfrac{1}{2}\times leg_1\times leg_2

Putting A=18 and leg_1=6, we get

18=\dfrac{1}{2}\times 6\times leg_2

18=3\times leg_2

Divide both sides by 3.

\dfrac{18}{3}=leg_2

6=leg_2

Both legs are equal so the given triangle is an isosceles right triangle.

If the triangle is not isosceles triangle, then the length of legs are factors of 36 because half of 36 is 18.

Therefore, the possible pairs of legs are 1 and 36, 2 and 18, 3 and 12, 4 and 9, 6 and 6, 9 and 4, 12 and 3, 18 and 2, 36 and 1.

5 0
3 years ago
What is the mean of your data 341, 237, 143,185,248,403,374,451,84,267,178,258,284,465,224
weqwewe [10]

Answer:

The mean for the given set of numbers is 276.133..... repeated

Step-by-step explanation:

To find this you must add the numbers up together and divide them by the amount of numbers there is.

6 0
2 years ago
In the xy-plane, what is the y-intercept of the graph of the equation y = square root of 4-x
Tpy6a [65]
The answer is C your welcome Gn
8 0
3 years ago
If 40 is increased to 56, what is the percent of change? <br> a80% <br> b29% <br> c40% <br> d71%
Black_prince [1.1K]

Answer:40%

Step-by-step explanation:

3 0
2 years ago
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