Question

.PQRS is a trapezium, in which PQ || SR. A and B are respectively the mid-points of PS and QR. If SR = 11 cm, AB= 15 cm, calculate PQ​

Answer 1

Answer:

Therefore, the PQ is of 8 cm

Step-by-step explanation:

PQ = 2 (AB - SR)

PQ = 2 (15 - 11)

PQ = 2 . 4

PQ = 8

Answer 2

Answer: value of PQ is 19cm

Explanation-

Given-If $SR = 11 cm, AB= 15 cm,$$SR = 11 cm, AB= 15 cm,$

Find-Calculate PQ​

Solution-A quadrilateral with at least one pair of parallel sides is called, in American and Canadian English, a trapezoid. In British and other forms of English, a trapezoid is called a trapezium. The transposition of these two terms was a result of an error in Charles Hutton's mathematical dictionary.

According to the question,

So, the given in question is

$AB=15cm, SR=11cm$

$AB=\frac{PQ+SR}{2}$

$15\times 2=PQ+11$

$30-11=PQ$

$PQ=19$

Hence, the value of PQ is 19cm.

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