All categories

2 years ago

What is the perimeter?

Mathematics

2 answers:

hichkok12 [17]2 years ago

6 0

<h3>☆Given :</h3>

$\\$

BC = 5 in

AC = 8in

AB = x (in)

$\\$

$\\$

Perimeter of triangle

$\\$

<h3>☆Solution:</h3>

$\\$

So to find perimeter of triangle first we have to find value of x.

$\\$

As it's Given one angle is 90°

So we can find value of x by using this formula:-

$\\$

Hypotenuse ² = Base² + perpendicular ²

$\\$

Where :-

Hypotenuse is AC

Base is BC

Perpendicular is AB

$\\$

So:-

$\\$

⇢AC² = BC² + AB²

$\\$

⇢8² = 5² + x²

$\\$

⇢64 = 5² + x²

$\\$

⇢64 = 25 + x²

$\\$

⇢25 + x² = 64

$\\$

⇢x² = 64 - 25

$\\$

⇢x² = 39 in.

$\\$

⇢x = √(39)

$\\$

⇢x = 6.2

$\\$

Now Let's find perimeter of triangle.

We know :-

Perimeter of triangle = Side one + side two + side 3

$\\$

So:-

$\\$

⇢Perimeter of triangle = AB + BC + AC

$\\$

⇢Perimeter of triangle = 5 + 8 + 6.2

$\\$

⇢Perimeter of triangle = 13 + 6.2

$\\$

⇢Perimeter of triangle = 19.2 in.

Inessa [10]2 years ago

3 0

Answer:

19.25 inches

Step-by-step explanation:

x^2 + 5^2 = 8^2= 64

25+ x^2 = 64

x^2 = 64-25= 39

x = 6.24

perimeter = 19.24

You might be interested in

Q and r are independent events. if p(q) = 1/4 and p(r)=1/5, find p(q and r)

klasskru [66]

Answer:

(b) $\frac{7}{30}$

Step-by-step explanation:

When two p and q events are independent then, by definition:

P (p and q) = P (p) * P (q)

Then, if q and r are independent events then:

P(q and r) = P(q)*P(r) = 1/4*1/5

P(q and r) = 1/20

P(q and r) = 0.05

In the question that is shown in the attached image, we have two separate urns. The amount of white balls that we take in the first urn does not affect the amount of white balls we could get in the second urn. This means that both events are independent.

In the first ballot box there are 9 balls, 3 white and 6 yellow.

Then the probability of obtaining a white ball from the first ballot box is:

$P (W_{u_1}) = \frac{3}{9} = \frac{1}{3}$