Question

The perimeter of an isosceles triangle is equal to 14 cm.
the lateral side is to the base in the ratio 5:4. The area
of the triangle is:
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Answer 1

Answer:

Let lateral side = (5x)cm and base = (4x) cm

5x+5x+4x=14 or x = 1

So, the sides are 5 cm, 5 cm and 4 cm

Semi perimeter, S = 1/2(5+5+4)cm = 7cm.

(s-a)=2cm, (s-b)=2cm and (s-c)=3cm

Area of triangle

= √(s(s-a)(s-b)(s-c))

= √(7×2×2×3)

= 2√21

Answer 2

Hey Mate! Here Is Your Answer

Step-by-step explanation:

Let sides are 5x, 5x and 4x. 

Therefore, 5x+5x+4x = 14 

14x= 14 

x=1 

Therefore sides are 5cm, 5cm and 4cm. 

S= a+b+c/2 = 5+5+4/2 = 7 

Area= √ s(s-a)(s-b)(s-c) 

=√ 7(7-5)(7-5)(7-4) 

=√ 7x 2x 2x 3 

=2√21

Hope it helps u.

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