Question

407. The base of an isosceles is 14 cm and its perimeteris 36cm.find it's area
is 36 cm. Find its area.
(a) 42_2 sq. cm. (b) 42 sq. cm
(c) 84 sq. cm
(d) 48 sq. cm
(ESIC-UDC Exam, 2016)​

Answer 1

Answer:

For triangle ABC, perimeter = AB+BC+CA & AB=AC

∴AB=AC=

2

1

(36−16)cm=10cm

Now, triangle ABE be a right angle triangle.

Then by pythagoras theorem, we have

h

2

+8

2

=10

2

⇒h=6cm

Area of ΔABC=

2

1

×16cm×6cm=48cm

2

Step-by-step explanation:

48 sq cm is the answer

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