Question

what is the middle length of a equiletral triangle if it's one side length is 12 cm
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Answer 1

Answer:

12cm

Step-by-step explanation:

Because all the sides of a equilateral triangle is same

Answer 2

Step-by-step explanation:

We know , middle length is the perpendicular of the triangle which bisects the base and the vertical angle.

so , if ABC is the triangle, where AD is the perpendicular bisecting the vertical angle A and and base BC .

Hence we get , triangle ABD and ACD in the right and left sides respectively.

taking the left side triangle ABD,

AB= 12 cm [ given]

angle DAB = 30 [ AD bisected the angle A which was 60°]

and BD = 6cm [ BC = 12cm bisected by AD]

Therefore, through Pythagoras theorem,

= let the perpendicular AD be 'x'

=>base² + perpendicular ² = (hypotenuse/AB)²

=>6² + x² = 12²

=>x²=144-36

=>x=√108

=>x=10.392cm

Ans = middle length is 10.392cm

You can see the proven example of ( bisector of a equilateral triangle is perpendicular to the base , for more info)

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