Question

CASE STUDY BASED QUESTION: Answer the following question that arises in
mind of Rahul by looking at the figure: Find the area of triangle ABP in sq. cm. *
-8 cm
UFO's are any unexplained moving object Tom
observed in the sky, especially one
assumed by some observers to be of
extraterrestrial (coming from a place
outside the plane earth) origin. Rahul a
student of class X has a interest in a space
science. So, he makes a shape of UFO
which is shown in below figure. In this
figure ABCD is a rectangle and the
equilateral triangles APB, BCQ, CDR and
ADS are described on its sides.
6 cm

Answer 1

Given:

In  figure ABCD is a rectangle and the  equilateral triangles APB, BCQ, CDR and  ADS are described on its sides of 6 cm.

Solution:

Know that,

Area of equilateral triangle $\[ = \frac{{\sqrt 3 }}{4}{a^2}\]$

Therefore,

$\[\begin{array}{l} = \frac{{\sqrt 3 }}{4} \times {6^2}\\ = \frac{{\sqrt 3 }}{4} \times 36\\ = 9\sqrt 3 \,c{m^2}\end{array}\]$

Hence, the area triangle ABP is $\[9\sqrt 3 \,c{m^2}\]$.