Question

Find the area of an isosceles triangle with perimeter 36 cm and base 16 cm Selina publisher solution​

Answer 1

Answer:

solutionA=48cm²

Step-by-step explanation:

b Base

16

cm

P Perimeter

36

cm

Using the formulas

A=bhb

2

P=2a+b

hb=a2﹣b2

4

Solving forA

A=1

4bP(P﹣2b)=1

4·16·36·(36﹣2·16)=48cm²

Answer 2

Answer:

Let the congruent sides of the isosceles triangle =a.

Perimeter of the triangle =

Sum of all sides = a + a + b =36

=>2a+16=36

On solving, a =10cm

Since the height of the triangle, divides it into two right angled triangles,

a

2

=h

2

+(

2

b

)

2

=>10

2

=h

2

+8

2

h

2

=100−64=36

h=

36

=6 cm

Area of triangle =

2

1

×base×height=

2

1

×16×6=48 sq cm