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Nikitich [7]
3 years ago
9

A triangle can have at most ________ right angle.

Mathematics
1 answer:
andrey2020 [161]3 years ago
3 0
A triangle can only have at most one right angle.

Here's a proof that shows why this is so:

We know that the sum of all interior angles of a triangle must add up to 180.
Let's say the interior angles are A, B, and C

A + B + C = 180

Let's show that having two right angles is impossible

Let A = B = 90

90 + 90 + C = 180

180 + C = 180

Subtract 180 from both sides

C = 0

We cannot have an angle with 0 degrees in a triangle. Thus, it is impossible to have 2 right angles in a triangle.

Let's try to show that it's impossible to have 3 right angles

Let A = B = C = 90

90 + 90 + 90 = 180 ?

270 ≠ 180

Thus it's impossible to have 3 right angles as well.

Let's show that is possible to have 1 right angle

Let A = 90

90 + B + C = 180

Subtract both sides by 90

B + C = 90

There are values of B and C that will make this true. Thus, a triangle can have at most one right angle.

Have an awesome day! :)
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Answer:

Discontinuity at (-4,-2), zero at (-2,0).

Step-by-step explanation:

We are given that a function

f(x)=\frac{x^2+6x+8}{x+4}

We have to find the discontinuity and zero of the given function.

Discontinuity: It is that point where the function is not defined.

It makes the function infinite.

f(x)=\frac{x^2+4x+2x+8}{x+4}

f(x)=\frac{(x+4)(x+2)}{x+4}

When x=-4 then

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After cancel out x+4 in numerator and denominator  then we get

f(x)=x+2

Substitute x=-4

f(-4)=-4+2=-2

Therefore, the point of discontinuity is (-4,-2).

Zero: The zero of the function is that number when substitute it in the given function then the function becomes zero.

When substitute x=-2

Then , f(0)=-2+2=0

The function is zero at (-2,0).

Hence, option C is true.

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