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anyanavicka [17]

3 years ago

10

Prove that the point joining the midpoint of any side of a triangle is half the third side

1 answer:

Nataly [62]3 years ago

5 0

Answer:

We conclude that the line joining the mid-point of two sides of a triangle is equal to half the length of the third side. The converse of this theorem states: If a line is drawn through the mid-point of a side of a triangle parallel to the second side, it will bisect the third side.

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In the survey 12 students said that they would like to learn French Spanish was 36% French 24% German 18% other 22% how many stu

Rufina [12.5K]

200 hundred students were surveyed DUH!

4 0

2 years ago

What are the zeroes of f(x) = x2 + 5x + 6?

Vera_Pavlovna [14]

Answer:

Zeros are x = −2, −3 .

Step-by-step explanation:

Given : f(x) = x² + 5x + 6.

To find : What are the zeroes of f(x).

Solution : We have given that

f(x) = x² + 5x + 6.

To find the zeros of the function we need to set f(x) = 0.

x² + 5x + 6 = 0.

On factoring

x² + 3x +2x + 6 = 0.

Taking common x from first two term and 2 from last two terms

x ( x + 3) +2 ( x +3) = 0.

On grouping

(x + 3) (x + 2) = 0

Now, x + 3 = 0 and x + 2 = 0

x = -3 and x = -2

Therefore, Zeros are x = −2, −3 .

3 0

3 years ago

In the right triangle shown, find x.

Brut [27]

Answer:

b

Step-by-step explanation:

8 0

2 years ago

Directions - For the following problem, write a paragraph proof to justify each step you make. All work must be neat,

nlexa [21]

$$ PS = \frac{4}{3} x$

Solution:

Given PRQ is a triangle.

ST is a line parallel to RQ.

$$PT = x, \ PQ = 3x, \ SR=\frac{8}{3}x$

$TQ=PQ-PT$

$TQ=3x -x=2x$

<u>Triangle proportionality theorem,</u>

<em>If a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally.</em>

$$\frac{PS}{SR} =\frac{PT}{TQ}$

$$\frac{PS}{\frac{8}{3} x} =\frac{x}{2x}$

Do cross multiplication, we get

$$ PS \times 2x=x \times \frac{8}{3} x$

Divide by 2x on both sides, we get

$$ PS = \frac{4}{3} x$

4 0

3 years ago

Please help it’s timed !!!! 80 points!!!!

Irina18 [472]

Answer:

The answer to your question is the letter a) √3/3

Step-by-step explanation:

Data

find tan 30°

Use the triangle 30°-60°-90° (see the picture below)

Tangent is the trigonometric function that relates the Opposite side and the adjacent side.

tan Ф = Opposite side / Adjacent side

-Substitution

tan Ф = 1/√3

or 1/√3 √3/√3 = √3/3

3 0

2 years ago

Read 2 more answers