All categories

3 years ago

Find the value of x in the triangle shown below.

Mathematics

2 answers:

Ainat [17]3 years ago

7 0

Answer:

Step-by-step explanation:

Again, sorry for responding late. I dont get notifications for comments.

Since this is an isosceles triangle. So x, and the other angle are both base angles. This means x and the other unnamed angle are the same, and 56 is the vertex angle. Look at the attached photo.

Since all angles in a triangle add up to 180, we can solve for x.

2x + 56 = 180

x = 62

11Alexandr11 [23.1K]3 years ago

5 0

Answer:

60.77054139≈x. I don't know what decimal place you need to round it to though

Step-by-step explanation:

We can apply the Law of Sines to this situation.

The Law of Sine states that sinA/a=sinB/b=sinC/c

Thus, we can get the equation

sin(56)/5.7=sin(x)/6

Multiplying both sides by 6, we get

6sin(56)/5.7=sin(x)

Simplifying the left side, we get

0.872671129...=sin(x)

Lastly, multiplying the inverse of sine to both sides, we get

sin^-1(0.872671129...)=sin^-1*sin(x)

60.77054139≈x

You might be interested in

Given the equation square root of 8x plus 1 = 5, solve for x and identify if it is an extraneous solution. x = one fourth, solut

Rainbow [258]

Answer:

x=3, solution is not extraneous

Step-by-step explanation:

we have

$\sqrt{8x+1}=5$

Solve for x

squared both sides

$(\sqrt{8x+1})^2=5^2$

$8x+1=25\\8x=25-1\\8x=24\\x=3$

<u><em>Verify</em></u>

For x=3

$\sqrt{8(3)+1}=5$

$\sqrt{24+1}=5$

$\sqrt{25}=5$

$5=5$ -----> is true

therefore

x=3, solution is not extraneous

5 0

3 years ago

A triangle has a side lengths of 3 and 8. The diagonal has a length of 11. Can this be a right triangle? Show your work to prove

Grace [21]

If the triangle is a right triangle, the pythagorean theorem would work
since it doesn’t, the triangle is NOT A RIGHT TRIANGLE

(see attached pic for work :))