Question

a chord of length 71½m has been cut into 26 piece of equal length. what is the length of each piece?
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Answer 1

Answer:

In △ABC AB=AC

⇒∠B=∠C (Angles opposite to equal sides are equal)

Now using angle sum property

∠A+∠B+∠C=180

∘

⇒80

∘

+∠C+∠C=180

∘

⇒2∠C=180

∘

−80

∘

⇒∠C=

2

100

∘

=50

∘

now ∠C+∠x=180

∘

(Angles made on straight line (AC) are supplementary)

⇒50

∘

+∠x=180

∘

⇒∠x=180

∘

−50

∘

=130

∘

Answer 2

Answer:

2.75 m

Step-by-step explanation:

total length=71½m

no. of pieces=26

so length of each piece=71½/26

then

$\frac{71 \frac{1}{2} }{26} = \frac{143}{52}$

$= 2.75m$