Question

a square and an equilateral triangle have the same perimeter ,if the diagonal of the square is 12√5 cm, then find the altitude of equilateral triangle ​

Answer 1

Answer:

Step-by-step explanation:

given 4s=3t perimeters equal

s=3t/4

given diagonal of a square=12sqrt(5)

ssqrt(2)=12sqrt(5)

s=12sqrt(5)/sqrt(2)

=6sqrt(10)

3t/4=6srt(10)

t=8sqrt(10)

altitude of a trinagle=srt(3)*t/2

=sqrt(3)*8*sqrt(10)/2

=4sqr(30)

Answer 2

Step-by-step explanation:

let side of square=a

side of triangle=b

according to question

4a=3b

given that

d=12✓5 cm

diagonal=✓2a

12✓5=✓2a

a=3✓10

b=4✓10

attitude=2✓30.