Question

side 8 cm. on one of its side PR a right angled triangle PRS is drawn with angle PRS =90 degree and Rs=12cm. hfind the area of PQRS​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Given:

• side = 8cm
• PRS = 90°
• RS = 12cm

To Find:

area of PQRS

Solution:

First we will find the area of ∆PQR

area of equitorial triangle$= \frac{ \sqrt{3} }{4} \times a \times a$

$⟹ \frac{ \sqrt{3} }{4} \times 8 \times 8$

$⟹27.71sq.cm$

Now,

we will find the area of ∆PRS

$⟹ \frac{1}{2} \times b \times h$

$⟹ \frac{1}{2} \times 12 \times 8$

$⟹48sq.cm$

Now add both the areas:

$⟹48 + 27.71$

$⟹75.71sq.cm$

hence,

${\boxed{\tt{\red{area\:of\:PQRS\:is\:75,71\;sq.cm}}}}$