Question

Find the perimeter of the give isosceles triangle? 14 cm and 6 cm​

Answer 1

Step-by-step explanation:

Given,

base

lateralside

=

4

5

then,

lateral side =5x

base =4x

∴AB=5x

BC=4x

AB=AC=5x [∵△ABC, is an isosceles △]

Perimeter (2s)=14 [given]

semi perimeter (s)=

2

14

=7 cm

Area of △ABC=

s(s−a)(s−b)(s−c)

...(1)

∵ Perimeter =14

⟹AB+BC+AC=14

⟹5x+5x+4x=14

⟹x=1 cm

∴c=AB

=5x

=5 cm

b=AC

=5x

=5 cm

a=BC

=4x

=4 cm

from (1)

Area=

7(7−4)(7−5)(7−5)

=

7×3×2×2

=2

21

cm

2