Question

To construct a regular pentagon of side 4 cm and inscribe a square in it.​

Answer 1

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Answer 2

Answer:

The diagram below shows how to inscribe a square in a pentagon

Explanation:

the length of the sides are 4 cm each

ab = bc = 4

In triangle abc ;

angle abc= 108

the other angles in triangle abc is ;

108+2x = 180

x= 36

hence ;

the length of ac will be 8 cm

the length of the diagonal will be 8cm as well

let the length of ap= cp = x and pd = pe = 8-x

In triangle apc;

the length of ac is 8 cm and also the sides ap and cp are equal i.e. x we can find the values of these sides as 4 cm

using triangle laws;

side angle side

this is how we create a square in a pentagon

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