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2 years ago

Help I need help on this question

Mathematics

1 answer:

nikitadnepr [17]2 years ago

3 0

Answer:

x = 8

FE = 54

Its Acute, Isosceles triangle

Step-by-step explanation:

Well you have to do this out of order and use some knowledge about questions, (It always helps.)

Lets do 12 first:

If this were a scalene triangle, you wouldn't be able to solve for it. Because no sides are equal and this isn't equilateral, because it only shows two equal angles. Therefore it is Isosceles.

Also, if this were a right triangle we would see the little square for an angle. It isn't obtuse because if you look at the triangle and its angles it isn't wider than the square (this only works on the ones that are to scale like this one) So again by elimination and some knowledge of the question we figure out that it is an acute scalene triangle

Now we try and find X. Because Angles F, and E are equal, we can make the two sides equal to each other and solve for x.

Add 24 on both sides

8x - 24 = 40

+24 +24

Divide by 8 on both sides

8x/8 = 64/8

And Voilla

X = 8

Hope this helped! Ask me if you have any further questions!

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Natasha_Volkova [10]

Answer:

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Step-by-step explanation:

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Since TO and SO are both radii of the circle, they must be equal. Thus, since TO is given as 10 cm, SO will also be 10 cm.

To find TP and SP, we can use the Pythagorean Theorem. Since they are tangents, they intersect the circle at a $90^{\circ}$ , creating right triangles $\triangle TOP$ and $\triangle SOP$ .

The Pythagorean Theorem states that the following is true for any right triangle:

$a^2+b^2=c^2$ , where $c$ is the hypotenuse, or the longest side, of the triangle

Thus, we have:

$10^2+TP^2=26^2,\\TP^2=26^2-10^2,\\TP^2=\sqrt{576},\\TP=24$

Since both TP and SP are tangents of the circle and extend to the same point P, they will be equal.

What we know:

$TP=SP=24$
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7 0

3 years ago

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s344n2d4d5 [400]

Answer:

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Step-by-step explanation:

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