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kirill115 [55]
3 years ago
12

Suppose a triangle has sides a, b, and c, and the angle opposite the side of length b is obtuse. What must be true?

Mathematics
1 answer:
anyanavicka [17]3 years ago
5 0

Answer: D.a^2 + b^2 < c^2

Step-by-step explanation:

In the given figure, we have an obtuse triangle which has sides a, b, and c, and the angle opposite the side of length b is obtuse.

∵ In a triangle, the side opposite to the largest angle is largest.

Thus, the largest side in then given obtuse triangle= c

The Pythagorean inequalities theorem says that If a triangle is obtuse than the square of the largest side is greater than the sum of square of other two sides.

Therefore, we have

a^2 + b^2 < c^2

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Please explain how to do and set up
In-s [12.5K]

A

using the Cosine rule in ΔSTU

let t = SU, s = TU and u = ST, then

t² = u² + s² - (2us cos T )

substitute the appropriate values into the formula

t² = 5² + 9² - (2 × 5 × 9 × cos68° )

   = 25 + 81 - 90cos68°

   = 106 - 33.71 = 72.29

⇒ t = \sqrt{72.29} ≈ 8.5 in → A


6 0
3 years ago
The equation of a circle is ( x - 3) 2 + ( y + 2) 2 = 25. The point (8, -2) is on the circle.
Shtirlitz [24]

Answer:

x =8 is the equation of the tangent.

Step-by-step explanation:

Here the equation of the given circle is: (x-3)^{2}  + (y+2)^{2}  = 25

Now, comparing it with the general equation of circle: (x-h)^{2}  + (y -k)^{2}  = r^2

we get the central coordinates (h,k)  = (3,-2)

So, the slope of the line joining center and (8, -2) = \frac{-2 -(-2)}{8-3} = \frac{0}{5} = 0

Since the slope of line = 0, line is parallel to x axis.

Now, as tangent and the line is perpendicular to each other

⇒Slope of the tangent = -1/ slope of the line = \frac{-1}{0}

Now, by point slope formula: the equation of the tangent is

(y-y0)  = m (x-x0)

or, (y +2) = \frac{-1}{0} (x -8)

or x =8 is the equation of the tangent.

8 0
3 years ago
Help I’m really bad at this
kogti [31]

Answer:

72

Step-by-step explanation:

The formula for surface area is SA = 2lw + 2wh + 2lh

W = width

L= length

H = height

A = 2(wl + hl + hw)

2·(6·3+2·3+2·6)

Simplify that down to get the answer 72

4 0
3 years ago
What is the area of the hexagon?
Gnoma [55]

Answer:

Around 60.32 squared

Step-by-step explanation:

Area = (3√3 s2)/ 2 where s is the length of a side of the regular hexagon.

6 0
3 years ago
Read 2 more answers
Can someone help me with 5-9 please?!?!? Thank you
valina [46]

5 is 1!!!!!!

Step-by-step explanation:

im sorry i dont know the others

3 0
1 year ago
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