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Yogita Ingle 4 years ago
SSS (Side-Side-Side)
If all the three sides of one triangle are equivalent to the corresponding three sides of the second triangle, then the two triangles are said to be congruent by SSS rule.
In the diagrams below, if AB = RP, BC = PQ and CA = QR, then triangle ABC is congruent to triangle RPQ.
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Gaurav Seth 4 years ago
Given :
In a triangle ABC :
∠ A - ∠ B = 33
∠ B - ∠ C = 18
We have find values of all angle :
We know sum of all interior angle of triangle is 180 .
∠ A + ∠ B + ∠ C = 180 .. ( ii )
We have :
∠ A - ∠ B = 33
∠ B - ∠ C = 18
Rewrite as :
∠ A = 33 + ∠ B
∠ C = ∠ B - 18
Now putting
33 + ∠ B + ∠ B + ∠ B - 18 = 180
3 ∠ B + 15 = 180
3 ∠ B = 165
∠ B = 55
Putting values of B in :
∠ A - ∠ B = 33
∠ B - ∠ C = 18
∠ A = 88
∠ C = 37 .
Answer:
∠ A = 88
∠ B = 55
∠ C = 37 .
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Gaurav Seth 4 years ago
Prime factorization is the decomposition of a composite number into a product of prime numbers.
Prime factorization of 72: 23 × 32
Prime factorization of 800: 25 × 52
Prime factorization of 18: 2 × 32
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Gaurav Seth 4 years ago
Trapezium:
- Like other quadrilaterals, the sum of all the four angles of the trapezium is equal to 360°
- A trapezium has two parallel sides and two non-parallel sides
- The diagonals of regular trapezium bisect each other
- The length of the mid-segment is equal to half the sum of the parallel bases, in a trapezium
- Two pairs of adjacent angles of a trapezium formed between the parallel sides and one of the non-parallel side, add up to 180 degrees.
Rhombus:
- All sides of the rhombus are equal.
- The opposite sides of a rhombus are parallel.
- Opposite angles of a rhombus are equal.
- In a rhombus, diagonals bisect each other at right angles.
- Diagonals bisect the angles of a rhombus.
Parallelogram:
- The opposite sides are congruent.
- The opposite angles are congruent.
- The consecutive angles are supplementary.
- If anyone of the angles is a right angle, then all the other angles will be the right angle.
- The two diagonals bisect each other.
- Each diagonal bisects the parallelogram into two congruent triangles.
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Yogita Ingle 4 years ago
Equation of line in two point form is given by y−y1/ (x−x1)=y2−y1 / (x2−x1)
∴ equation of line for (2,3) and (2,-1) is
(y−3)/ (x−2)=(3+1)/(2−2)
(y−3)/ (x−2)= 4/0
⟹ 4(x−2) =0
i.e. x=2
Here the abscissa for P as well as Q is 2 i.e same. So both the points lie on the line x=2.
Hence, PQ is parallel to Y-axis.
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