Question

(13) The length of diaconal of equilateral quadrilateral is 16 cm and 12 cm. Find the length of side of
equilateral quadrilateral.​

Answer 1

Solution

Given :-

• The length of diaconal of equilateral quadrilateral is 16 cm and 12 cm

Find :-

• the length of side of equilateral quadrilateral

Exolanation

Let,

ABCD be a equlateral quadrilateral , and AC , BD be diagonal of this equlateral quadrilateral.

Where,

• AC = 16 cm
• BD = 12 cm

We Know,

Diagonal of equalateral quadrilateral intersect in same distance.

Or,

If , O be intersect point of both diagonal ,

Then,

• AO = OC = 8 cm
• BO = OD = 6 cm

So, Now take a Right triangle ∆AOB

Where,

• AO = 8 cm = Perpendicular
• OB = 6 cm = Base
• AB = ? = Hypotenuse

Usibg Pythagoras theorem

★ AB² = AO² + OB²

==> AB² = 8² + 6²

==> AB² = 64 + 36

==> AB = √(100)

==> AB = 10 cm

We Know,

• In equlateral quadrilateral all side always same.

So,

• AB = BC =CA = DA = 10cm

Hence

• Side of equlateral quadrilateral be = 10 cm

_____________________

Answer 2

Answer:

10 cm

Step-by-step explanation:

the answer of the given question