All categories

2 years ago

Which angle measures create a triangle with three different side lengths?

Mathematics

1 answer:

dedylja [7]2 years ago

3 0

Answer:

Step-by-step explanation:

For 3 different side lengths, you need 3 different angles. That eliminates A, B and D.

A: In the case of A, The angles do not add up to 180 so this is not possible. Even if it was, the angles are all the same and the side lengths would be as well.

B: Two angles are the same, therefore, 2 sides will be the same, even though the two sides added together will be larger than the side opposite.

D: Two angles are the same. The angles add to 180. The triangle will have 2 equal sides.

C: Answer. The three given angles add to 180. They are different. Unless the side opposite 93 exceeds the length of the other 2 sides, this forms a triangle with 3 different sides. Using other methods to calculate the answer the other 2 sides do exceed the the base length so everything is fine.

You might be interested in

Find the quotient of x-8 over x-10 by inspection.

Andru [333]

$\frac{x-8}{x-10}$

$\frac{x-10+2}{x-10}$

$\frac{x-10}{x-10}+\frac{2}{x-10}$

$1 + \frac{2}{x-10}$

7 0

2 years ago

What is the area of this triangle ?

oee [108]

Answer:

Area of triangle is 9.88 units^2

Step-by-step explanation:

We need to find the area of triangle

Given E(5,1), F(0,4), D(0,8)

We will use formula:

$Area\,\,of\,\,triangle =\sqrt{s(s-a)(s-b)s-c)} \\where\,\, s = \frac{a+b+c}{2}$

We need to find the lengths of side DE, EF and FD

Length of side DE = a = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

Length of side DE = a = $=\sqrt{(5-0)^2+(1-8)^2}\\=\sqrt{(5)^2+(-7)^2}\\=\sqrt{25+49}\\=\sqrt{74}\\=8.60$

Length of side EF = b = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

Length of side EF = b = $=\sqrt{(0-5)^2+(4-1)^2}\\=\sqrt{(-5)^2+(3)^2}\\=\sqrt{25+9}\\=\sqrt{34}\\=5.8$

Length of side FD = c = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

Length of side FD = c = $=\sqrt{(0-0)^2+(8-4)^2}\\=\sqrt{(0)^2+(4)^2}\\=\sqrt{0+16}\\=\sqrt{16}\\=4$

so, a= 8.60, b= 5.8 and c = 4

s = a+b+c/2

s= 8.6+5.8+4/2

s= 9.2

Area of triangle= $=\sqrt{s(s-a)(s-b)s-c)}\\=\sqrt{9.2(9.2-8.6)(9.2-5.8)(9.2-4)}\\=\sqrt{9.2(0.6)(3.4)(5.2)}\\=\sqrt{97.5936}\\=9.88$

So, area of triangle is 9.88 units^2

4 0

3 years ago

Check if given set of numbers 6,8,10 forms pythagorean triplet or not?

kipiarov [429]

$\LARGE{ \underline{ \tt{Required \: answer:}}}$

We know that,

Pythagoras theoram is given by : p² + b² = h²

In a Pythagoras triplet, the longest side represents the hypotenuse of the triangle.

Then,

We should check that, whether the sum of squares of the smaller sides will be equal to the square of the third side or not. Then, we can determine the above easily.

Sum of squares of smaller sides:

= 6² + 8²

= 36 + 64

= 100

Square of longer side:

= 10²

= 100

Sum of squares of smaller sides = Square of longer side. Hence, 6,8,10 are Pythagorean triplets.

And we are done! :D

⛱️ $\large{ \blue{ \bf{FadedElla}}}$

6 0

2 years ago

What are the zeros of the function f(x) = (3x^2 + 9x + 6) / (3x - 6) ?

cricket20 [7]

3x^2 + 9x + 6 = 0
3x^2 + 3x + 6x + 6 = 0
3x(x + 1) + 6(x + 1) = 0
(3x + 6)(x + 1) = 0
3x + 6 = 0 and x + 1 = 0
3x = -6 and x = -1
x = -2 and x = -1

6 0

3 years ago

2. What is the mode for the data set 13, 11, 10, 12, 14, 9,

Mashutka [201]

Answer:

Step-by-step explanation:

mode is the number that is most frequent

5 0

2 years ago

Read 2 more answers