The playground at a shopping mall is a triangle with a perimeter of 48 feet. the lengths of two sides are 19 feet and 14 feet. how long is the third side

ANSWER:

The length of the third side of a triangular playground at a shopping mall is 15 feet.

SOLUTION:  

Given, perimeter of a triangular playground at a shopping mall = 48 feet

Length of one of the side of that triangular playground = 19 feet

Length of another side of that triangular playground = 14 feet

Now, we need to find the length of the third side of the triangle.

We know that the formula for perimeter of triangle is given as

p = a + b + c

Where, p is the perimeter of the triangle

a is the length of first side of triangle

b is the length of second side of triangle

c is the length of third side of triangle

We need to find the length of third side

Let a = 19 feet ; b = 14feet ; c =?

p = a + b + c  

48 = 19 + 14 + c

48 = 33 + c

c = 48 – 33

c = 15feet

Hence, length of the third side of a triangular playground at a shopping mall is 15 feet

< coa = 150 ( given)

as ba and bc are tangents

so oc and oa is perpendicular to cb and ab respectively because in circle normal passes through centre

so in quadrilateral oabc

< coa + < oab + < ocb + < abc = 360

150 +90+90 + < abc = 360

330 + < abc = 360

< abc = 360 -330 = 30

so < abc = 30

⭐dhruv⭐

there is no question content here, but you for the free points! : d