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2 years ago

Please help me with this!!

Mathematics

2 answers:

rewona [7]2 years ago

8 0

Area = b * h
Area of orange = area of big square subtract by area of small square

Small square = b^2
Big square = a^2
(a^2 - b^2) = (a - b)( a + b)

Solution: (a - b) (a + b)

melomori [17]2 years ago

5 0

Answer:

a² - b² = (a + b)(a - b)

Step-by-step explanation:

The side of the outer square is a. Its area is a².

The side of the inner square is b. Its area is b².

The area of the orange section is the difference of the area of the two squares.

A = a² - b²

The area is the difference of two squares which factors into the product of a sum and a difference.

Factor the area:

a² - b² = (a + b)(a - b)

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3 years ago

Joe bought 16 pounds of flour for $7.<br> How many pounds of flour did he get per dollar?

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3 years ago

At the neighborhood grocery, 4.5 pounds of chicken breast cost $53.28. Benjamin

otez555 [7]

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3 years ago

What is the height of the triangle? 12 units 24 units 36 units 72 units.

konstantin123 [22]

Height of the triangle is the altitude of the triangle and which is drawn perpendicular from the vertex of the triangle to the opposite side. The height of the tringle is 24 units. Hence option 2 is the correct option.

<h3>Given information-</h3>

The triangle for the given problem is shown in the image below.

Form the figure the length of the each side is $16 \sqrt{3}$ units.

As all the sides are equal thus the $\Delta MNO$ is a equilateral triangle in which the height of the divides the triangle into two equal part of the length $8\sqrt{3}$ at point <em>R.</em>

<h3>Height of the triangle-</h3>

Height of the triangle is the altitude of the triangle and which is drawn perpendicular from the vertex of the triangle to the opposite side.

Now in the $\Delta MRN$ , the length of the hypotenuse is $16 \sqrt{3}$ units and the length of the base is $8\sqrt{3}$ units. Let <em>h </em>is the height of the triangle thus by the Pythagoras theorem,

$(16\sqrt{3})^2 =(8\sqrt{3})^2+h^2$

Solve for <em>h,</em>

<em />

<em /> $\begin{aligned}h^2 &=(16\sqrt{3})^2 -(8\sqrt{3})^2\\h^2 &=16\times16\times3 -8\times8\times3\\h^2 &=576\\h &=\sqrt{576}\\h &=24\\\end$ <em />

<em />

Thus the height of the tringle is 24 units. Hence option 2 is the correct option.

Learn more about the equilateral triangle here;

brainly.com/question/4268382

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2 years ago