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2 years ago

Can triangles be made with sides length of 15,10,4

1 answer:

7 0

Answer is No.

The reason why is that

One side of the triangle has to be less than the sum of the other two sides and greater than the magnitude of their difference.

Rule 1: (side1 + side2) > side3

Rule 2: Side3 < |side1 - side2|

Lets check the fact by adding / subtracting two sides and comparing with the third one..

Case1: 7+ 8 = 15 = length of third side. Rule1 fails

Case2:

8+15 > 7 Rule1 sucess

15–8 = 7 = length of third side. Rule 2 fails.

Case3:

7+15>8 Rule1 success

15–7=8 = length of third side. Rule 2 fails.

So, considering the rules and checking the facts..

it is impossible to create a triangle with above 3 sides.

You might be interested in

Find exact values for sin θ and tan θ if cos θ = -4/9 and tan θ > 0.

julsineya [31]

Answer:

Part 1) $sin(\theta)=-\frac{\sqrt{65}}{9}$

Part 2) $tan(\theta)=\frac{\sqrt{65}}{4}$

Step-by-step explanation:

we have that

The cosine of angle theta is negative and the tangent of angle theta is positive

That means that the sine of angle theta is negative

step 1

Find $sin(\theta)$

we know that

$sin^{2}(\theta) +cos^{2}(\theta)=1$

we have

$cos(\theta)=-\frac{4}{9}$

substitute

$sin^{2}(\theta) +(-\frac{4}{9})^{2}=1$

$sin^{2}(\theta) +\frac{16}{81}=1$

$sin^{2}(\theta)=1-\frac{16}{81}$

$sin^{2}(\theta)=\frac{65}{81}$

square root both sides

$sin(\theta)=\pm\frac{\sqrt{65}}{9}$

Remember that

In this problem the sine of angle theta is negative

$sin(\theta)=-\frac{\sqrt{65}}{9}$

step 2

Find $tan(\theta)$

we know that

$tan(\theta)=\frac{sin(\theta)}{cos(\theta)}$

we have

$sin(\theta)=-\frac{\sqrt{65}}{9}$

$cos(\theta)=-\frac{4}{9}$

substitute the given values

$tan(\theta)=-\frac{\sqrt{65}}{9}:-\frac{4}{9}=\frac{\sqrt{65}}{4}$

3 0

3 years ago

The points (-4,r) and (2,-3) lie on a line with a slope-1. Find the missing coordinator r.?

MAVERICK [17]

Answer:

3 (-4,3)

Step-by-step explanation:

7 0

2 years ago

PLSSS HELP. WILL MARK BRAINLIEST. A rectangle has sides measuring (6x + 4) units and (2x + 11) units. Part A: What is the expres

Leni [432]

Answer:

Below.

Step-by-step explanation:

Part A: $(6x+4)(2x+11)=12x^2+66x+8x+44=12x^2+74x+44$

Part B: Degree = 2, Classification = Quadratic

Part C: The polynomial is closed because it is multiplied. You CANNOT close under division.

4 0

2 years ago

During the spring car wash, the activities club washed 14 fewer cars than during the summer car wash. They washed a total of 96

Mashutka [201]

You can make an equation to solve this, but establishing knowns, unknowns, and relationships.

# in spring wash = x
# in summer = x + 14
Total Washes = 96

we know:
total = summer + spring

96 = (x) + (x + 14)
96 = 2x + 14
82 = 2x

"x" = 41

4 0

2 years ago

A number has the same digit in its hundreds place and its hundredths place.

Yuki888 [10]

Answer:

One is 2 0's before the decimal point (100) and the other is 2 decimal places AFTER the decimal point (0.01)

Essentially, the question is asking us how many times do we multiply 0.01 to get 100? This will be how many times greater 100 is compared to 0.01

Lets move the decimal point 4 times to the right:

0.01

00.1

1.0

10.0

100.0

Step-by-step explanation:

7 0

3 years ago