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denis-greek [22]

2 years ago

5

In triangle STU, we have ST = SU = 22 and TU = 8. Let M be the midpoint of

" id="TexFormula1" title="\overline{ST}" alt="\overline{ST}" align="absmiddle" class="latex-formula"> and N be on $\overline{TU}$ such that $\overline{SN}$ is an altitude of triangle STU. If $\overline{SN}$ and $\overline{UM}$ intersect at X, then what is SX?

1 answer:

dusya [7]2 years ago

3 0

Answer:

4√13

Step-by-step explanation:

1. Calculate the length of SN

Your triangle (below) is a relatively tall isosceles triangle.

∆STN is a right triangle, so we can use Pythagoras theorem to calculate the length of SN.

SN² + NT² = ST²

SN² + 4² =22²

SN² + 16 = 484

SN² = 468

SN = √468 = 6√13

2. Calculate the length of SX

UM and SN are lines from an angle to the centre of the opposite side, so they are medians.

The medians of a triangle meet at a single point, X — the centroid.

Another characteristic is that the centroid divides each median into segments in a 2:1 ratio.

Thus,

SX = ⅔SN = ⅔ × 6√13 = 4√13

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Answer:

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Step-by-step explanation:

Value after t years = initial value ( 1 - r )^t

Where,

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2 years ago

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Pani-rosa [81]

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2 years ago

Grant plans to evaporate enough water from 22 gallons of a 16% ammonia solution to make a 24% ammonia solution. Which equation c

Paha777 [63]

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2 years ago

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julia-pushkina [17]

Answer:

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2 years ago

Find a b if a = 3i + 8j and b = -0.5i -4j.

Gekata [30.6K]

Answer:

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Step-by-step explanation:

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Basically in short:

1. Multiply the “i’s”.

2. Multiply the “j’s”.

3. Add the two products together.

HOPE THIS HELPS !! :-)

3 0

2 years ago

Read 2 more answers