Question

An isosceles triangle has perimeter 45cm and each of equal side
be 16cm. Find area of triangle and length of Altitudes in form of
square root

Answer 1

Answer:

in isosceles triangle both sides are equal.

Given that:

perimeter=45cm

equal side=15cm.

To find

area of triangle and lenght of altitude

perimeter =2a+b. ( a is representing equal sides)

45=2×16+b

b=45-32=13cm

to calculate area, we use heroins formula

✓s(s-a)(s-a)(s-b)

s= 2(a+b)/2

s=45/2=22.5

✓22.5×6.5×6.5×9.5

✓9030.9375 cm²

Step-by-step explanation:

to find altitude we use

area of triangle=1/2×Base×Altitude

√300.51=1/2×13× A

A=(2√399.51)/13 cm

Answer 2

Answer:

perimeter= 45cm

let the third side be x

16+16+x=45

32+x=45

x=13

To find altitude/height, we will use this formula-

√(a^2-b^2)/4

√(16)^2-(16)^2/4

16-16/2

8

height=8

area = 1/2bh

1/2×13×8

13×4=52=area