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3 years ago

Can someone help and show the work please

Mathematics

1 answer:

Snowcat [4.5K]3 years ago

3 0

Answer:

Step-by-step explanation:

We have the rectangle and the right triangle.

The formula of an area of a rectangle:

<em>l</em> - length

<em>w </em>- width

We have <em>l = 10 in</em> and <em>w = 5 in</em>. Substitute:

The formula of an area of a triangle:

<em>b</em> - base

<em>h</em> - height

We have <em>b = 5 in</em> and <em>h = 5 in + 5 in = 10 in</em>. Substitute:

The area of figure:

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3 years ago

Read 2 more answers

Explain why the triangles are similar then find out the distance represented by x

elena55 [62]

Because the only difference between them is size so the basic form of the shape remains, having corresponding sides in proportion.

<h2>Explanation:</h2>

Two triangles are similar if the only difference between them is size. Put another way, the basic form of the shape remains. If this is true, then:

Corresponding angles are congruent
Corresponding sides are in proportion

Since you didn't provide any graph, I have attached two similar triangles below. As you can see they are right triangles. As we said, corresponding sides of similar triangles are in proportion, so it is true that:

$\frac{9}{3}=\frac{12}{4}=\frac{x}{5}=3 \\ \\ \therefore \frac{x}{5}=3 \\ \\ \therefore x=5(3) \\ \\ \therefore \boxed{x=15}$

<h2>Learn more:</h2>

Right and scalene triangles: brainly.com/question/10379190

#LearnWithBrainly

8 0

3 years ago

Find the length of the third side. If necessary, round to the nearest tenth. 5 10

snow_lady [41]

Answer:

$\boxed {\boxed {\sf 8.7}}$

Step-by-step explanation:

We are asked to find the length of the third side in a triangle, given the other 2 sides.

Since this is a right triangle (note the small square in the corner of the triangle representing a 90 degree /right angle), we can use the Pythagorean Theorem.

$a^2 + b^2 =c^2$

In this theorem, <em>a</em> and <em>b</em> are the legs of the triangle and <em>c</em> is the hypotenuse.

We know that the unknown side (we can say it is a) and the side measuring 5 are the legs because they form the right angle. The side measuring 10 is the hypotenuse because it is opposite the right angle.

b= 5
c= 10

Substitute the values into the formula.

$a^2 + (5)^2 = (10)^2$

Solve the exponents.

(5)²= 5*5 = 25
(10)²= 10*10= 100

$a^2 + 25=100$

We are solving for a, so we must isolate the variable. 25 is being added to a. The inverse operation of addition is subtraction, so we subtract 25 from both sides.

$a^2 +25-25=100-25$