1 The sum of the lengths of any two sides of a triangle is less than the third side
2 In a right-angled triangle, the square on the hypotenuse = sum of the squares on the legs
3 If the Pythagorean property holds, the triangle must be right-angled
4 The diagonal of a rectangle produce ‘by itself the same area as produced by its length and breadth
Explanation:
The sum of the lengths of any two sides of a triangle is less than the third side
THE TRIANGLE AND ITS PROPERTIES
298490
If two angles of a triangle are 60° each, then the triangle is:
1 Isosceles but not equilateral.
2 Scalene.
3 Equilateral.
4 Right-angled.
Explanation:
Equilateral. \(\text{In} \ \angle\text{ABC},\) \(\angle\text{A}+\angle\text{B}+ \angle\text{C}=180^{\circ}\) [angle sum property of a triangle] \(\Rightarrow \ \angle\text{A}+60^{\circ}+60^{\circ}=180^{\circ}\) \({[\because\angle\text{B}=\angle{\text{C}}=60^{\circ},\text{given}]}\) \(\Rightarrow \ \angle\text{A}=120^{\circ}-80^{\circ}\) \(\Rightarrow \ \angle\text{A}=60^{\circ}\) 0 Since, all the angles are of 60°. so, it is an equilateral triangle.
THE TRIANGLE AND ITS PROPERTIES
298491
Find the value of x 1
1 120\(^{1}\)
2 30\(^{1}\)
3 110\(^{1}\)
4 50\(^{1}\)
Explanation:
50\(^{1}\) The exterior angle is equal to the sum of two opposite interior angle. 80 = x + 30, x = 50 degree
NEET Test Series from KOTA - 10 Papers In MS WORD
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THE TRIANGLE AND ITS PROPERTIES
298485
Which of the following statement is false?
1 The sum of the lengths of any two sides of a triangle is less than the third side
2 In a right-angled triangle, the square on the hypotenuse = sum of the squares on the legs
3 If the Pythagorean property holds, the triangle must be right-angled
4 The diagonal of a rectangle produce ‘by itself the same area as produced by its length and breadth
Explanation:
The sum of the lengths of any two sides of a triangle is less than the third side
THE TRIANGLE AND ITS PROPERTIES
298490
If two angles of a triangle are 60° each, then the triangle is:
1 Isosceles but not equilateral.
2 Scalene.
3 Equilateral.
4 Right-angled.
Explanation:
Equilateral. \(\text{In} \ \angle\text{ABC},\) \(\angle\text{A}+\angle\text{B}+ \angle\text{C}=180^{\circ}\) [angle sum property of a triangle] \(\Rightarrow \ \angle\text{A}+60^{\circ}+60^{\circ}=180^{\circ}\) \({[\because\angle\text{B}=\angle{\text{C}}=60^{\circ},\text{given}]}\) \(\Rightarrow \ \angle\text{A}=120^{\circ}-80^{\circ}\) \(\Rightarrow \ \angle\text{A}=60^{\circ}\) 0 Since, all the angles are of 60°. so, it is an equilateral triangle.
THE TRIANGLE AND ITS PROPERTIES
298491
Find the value of x 1
1 120\(^{1}\)
2 30\(^{1}\)
3 110\(^{1}\)
4 50\(^{1}\)
Explanation:
50\(^{1}\) The exterior angle is equal to the sum of two opposite interior angle. 80 = x + 30, x = 50 degree
1 The sum of the lengths of any two sides of a triangle is less than the third side
2 In a right-angled triangle, the square on the hypotenuse = sum of the squares on the legs
3 If the Pythagorean property holds, the triangle must be right-angled
4 The diagonal of a rectangle produce ‘by itself the same area as produced by its length and breadth
Explanation:
The sum of the lengths of any two sides of a triangle is less than the third side
THE TRIANGLE AND ITS PROPERTIES
298490
If two angles of a triangle are 60° each, then the triangle is:
1 Isosceles but not equilateral.
2 Scalene.
3 Equilateral.
4 Right-angled.
Explanation:
Equilateral. \(\text{In} \ \angle\text{ABC},\) \(\angle\text{A}+\angle\text{B}+ \angle\text{C}=180^{\circ}\) [angle sum property of a triangle] \(\Rightarrow \ \angle\text{A}+60^{\circ}+60^{\circ}=180^{\circ}\) \({[\because\angle\text{B}=\angle{\text{C}}=60^{\circ},\text{given}]}\) \(\Rightarrow \ \angle\text{A}=120^{\circ}-80^{\circ}\) \(\Rightarrow \ \angle\text{A}=60^{\circ}\) 0 Since, all the angles are of 60°. so, it is an equilateral triangle.
THE TRIANGLE AND ITS PROPERTIES
298491
Find the value of x 1
1 120\(^{1}\)
2 30\(^{1}\)
3 110\(^{1}\)
4 50\(^{1}\)
Explanation:
50\(^{1}\) The exterior angle is equal to the sum of two opposite interior angle. 80 = x + 30, x = 50 degree
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