Question

in the given parallelogram pqrs.st is altitude to the base of pq the pqrs is 120.pq15cm pt 6cm findST and sp​

Answer 1

Answer:

10 cm

Step-by-step explanation:

As far as question comprehension area of pgll(parallelogram) is 120 square cm.

Area of pgll

$area = \: height \: \times \: base$

As Height is the length perpendicular to opposite side of the pgll so ST a altitude is also a height

$120 = 15 \times h \: (let \: the \: height \: to \: be \: h) \: \\ 120 \div 15 = h \\ 8 \: cm \: = h$

Now we have to find SP since height is perpendicular using pythagoras theorem.

${ST}^{2} + {TP}^{2} = {SP}^{2} \\ {8}^{2} + {6}^{2} = {SP}^{2} \\ 64 + 36 = {SP}^{2} \\ 100 = {SP}^{2} \\ \sqrt{100 } = SP \\ 10 = SP$

LENGHT OF SP IS 10 cm.

(IT TAKE ME TIME TO DIGITALLY WRITE SO ATLEAST A LIKE IS APPRECIATED)