Question
Draw a line AB and take two points C and E on opposite sides of AB. Through C, draw $\text{CD}\perp\text{AB}$ and through E draw $\text{EF}\perp\text{AB}.$ ruler and set-squares.
✓
Answer
Draw a line AB and take two points C and E on the opposite sides of the line AB.
On the side of E, place a set-square PQR, such that its one arm PQ of the right angle is along the line AB. Without disturbing the position of the set-square, place a ruler along its edge PR.
Now, without disturbing the position of the ruler, slide the set square along the ruler until the arm QR reaches point C.
Without disturbing the position of the set-square, draw a line CD, where D is a point on AB.
CD is the required line and $\text{CD}\perp\text{AB}.$
We repeat the same process starting with taking set-square on the side of E, we draw a line $\text{EF}\perp\text{AB}.$
On the side of E, place a set-square PQR, such that its one arm PQ of the right angle is along the line AB. Without disturbing the position of the set-square, place a ruler along its edge PR.
Now, without disturbing the position of the ruler, slide the set square along the ruler until the arm QR reaches point C.
Without disturbing the position of the set-square, draw a line CD, where D is a point on AB.
CD is the required line and $\text{CD}\perp\text{AB}.$
We repeat the same process starting with taking set-square on the side of E, we draw a line $\text{EF}\perp\text{AB}.$
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Write all the factors of the given numbers and list their common factors:
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S.No.
|
Roman numeral
|
|
i
|
XXVII
|
|
ii
|
XXXIV
|
|
iii
|
XLV
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iv
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LIV
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v
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LXXIV
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vi
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XCI
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vii
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XCVI
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viii
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CXI
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ix
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CLIV
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x
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CCXXIV
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xi
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CCCLXV
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xii
|
CDXIV
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xiii
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CDLXIV
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xiv
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| 1. |
625 × 436 = 625 × 400 + 625 × 30 + 625 ×6
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a
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2.
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|
b
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Commutativity under multiplication.
|
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3.
|
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c
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Distributivity of multiplication over addition.
|
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| 91 | |||
| 552 | |||
| 9336 | |||
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