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Harlamova29_29 [7]
3 years ago
5

Victor drew trapezoid PQRS on a coordinate plane p(7,4) q(10,4) r(13,-1) s(8,-1) what is length in units of side ps

Mathematics
1 answer:
olga nikolaevna [1]3 years ago
5 0

Answer:

PS=\sqrt{26}units

Step-by-step explanation:

Given : PQRS is a trapezoid on a coordinate plane P(7,4) Q(10,4) R(13,-1) S(8,-1).

To find:: Length of the side PS

Solution : Using the distance formula, we can find the length of the side PS, therefore

PS=\sqrt{(y_{2}-y_{1})^2+(x_{2}-x_{1})^2}

PS=\sqrt{(-1-4)^{2}+(8-7)^2 }

PS=\sqrt{(-5)^2+(1)^2}

PS=\sqrt{25+1}

PS=\sqrt{26}units

which is the required length of the side PS.

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\underline \mathcal \pink{ GIVEN}

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\underline \mathcal \purple{ TO  \: FIND}

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\underline \mathcal \blue{CALCULATION}

\qquad \tt \leadsto \: area =  \frac{1}{2}  \times base \times height

\qquad \bf \nrightarrow \: area =  \frac{1}{ \cancel2}  \times  \cancel2 \frac{9}{10}  \times 4 \frac{6}{7}

\qquad \bf \nrightarrow \: area =   \frac{9}{ \cancel{10}}  \times  \cancel4 \frac{6}{7}

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