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3 years ago

Pq is parallel to rs the length of rp is 6cm the length of pt is 18cm the length of qt is 21cm what is the length of sq

Mathematics

2 answers:

nata0808 [166]3 years ago

8 0

If this is the picture the answer is 7cm

nlexa [21]3 years ago

3 0

Answer: The length of SQ is 7 cm.

Step-by-step explanation:

Since we have given that

Length of RP = 6cm

Length of PT = 18 cm

Length of QT = 21 cm

We need to find the length of SQ.

Since PQ is parallel to RS.

So, their ratio would be same anyhow.

So, it becomes,

$\dfrac{RP}{PT}=\dfrac{SQ}{QT}\\\\\dfrac{6}{18}=\dfrac{SQ}{21}\\\\\dfrac{1}{3}=\dfrac{SQ}{21}\\\\SQ=\dfrac{21}{3}\\\\SQ=7\ cm$

Hence, the length of SQ is 7 cm.

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3 years ago

How do I solve for x

Alchen [17]

Greetings!

To find the length of any side of a right triangle, you can use the Pythagorean Thereom. It states that the squares of two sides are equal to the square of the hypotenuse:
$a^2+b^2=c^2$

Input the information from the diagram into the formula:
$(x)^2+(x+7)^2=(13)^2$

Expand each term:
$(x)^2+(x+7)^2=(13)^2$

$x^2+((x+7)(x+7))=169$

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Combine like terms:
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Add -169 to both sides:
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Factor out the Common Term (2):
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Factor the Complex Trinomial:
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Set Factors to equal 0:
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However, since we are solving for the side length, the only possible answer is 5 (a shape can't have a side with a negative length.)

The Solution Is:
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I hope this helped!
-Benjamin

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