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Draw a line segment of length …

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Draw a line segment of length 7.6cm and divide it in the ratio 5:8measure the two parts

Posted by Mahira Rana 6 years, 9 months ago

CBSE > Class 10 > Mathematics

1 answers

Gaurav Seth 6 years, 9 months ago

Steps of Construction :
(i) Draw AB = 5.6 cm
(ii) At a draw an acute ∠BAX below base AB.

(iii) On AX make 5 + 8 i.e. 13 equal parts and mark them as A₁, A₂, A₃, A₄,... A₁₃

(iv) Join B to A₁₃. From A₅ draw A₅C || A₁₃B. C is the required point of division and AC : CB = 5 : 8.

On measuring, we get
AC = 3.1 cm,
CB = 4.5 cm
Justification :

[Using basic proportionally theorem]

Therefore,

This shows that C divides AB in the ratio 5 : 8.

1Thank You

ANSWER

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CBSE > Class 10 > Mathematics