298417
If one angle of a triangle is equal to the sum of the other two angles, the triangle is:
1 Obtuse angle triangle
2 Acute angle triangle
3 Right angle triangle
4 None of these
Explanation:
Right angle triangle Let ABC be the triangle Given, \(\angle\text{A}=\angle\text{B }+\angle\text{C}\) We know that \(\angle\text{A}=\angle\text{B }+\angle\text{C}=180^\circ\) \(\Rightarrow\angle\text{A}+\angle\text{A}=180^\circ\) \(\Rightarrow\angle\text{A}=90^\circ\) Thus, \(\triangle\text{ABC}\) is a right angle triangle
THE TRIANGLE AND ITS PROPERTIES
298418
In a right triangle, if hypotenuse is H, perpendicular is P and base is B then.
1 B² = H² + P²
2 H² = P² + B²
3 H² = P² - B²
4 P² = B² + H²
Explanation:
H² = P² + B²
THE TRIANGLE AND ITS PROPERTIES
298419
If the exterior angle of a triangle is 130° and its interior opposite angles are equal, then measure of each interior opposite angle is:
1 55°
2 65°
3 50°
4 60°
Explanation:
65° As we know, the measure of any exterior angle is equal to the sum of two opposite interior angles. Let the interior angle be x. Given that, interior opposite angles are equal. \(\therefore \ 130^{\circ}=\text{x}+\text{x}\) \(\Rightarrow \ 130^{\circ}=2\text{x}\) \(\Rightarrow \ \text{x}=\frac{130^{\circ}}{2}\) \(\Rightarrow \ \text{x}=65^{\circ}\) Hence, the interior angle is = 65°.
THE TRIANGLE AND ITS PROPERTIES
298420
In the following figure, \(\triangle\text{ABC}\) is an equilateral triangle. Find \(\angle\text{x}\) 2
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THE TRIANGLE AND ITS PROPERTIES
298417
If one angle of a triangle is equal to the sum of the other two angles, the triangle is:
1 Obtuse angle triangle
2 Acute angle triangle
3 Right angle triangle
4 None of these
Explanation:
Right angle triangle Let ABC be the triangle Given, \(\angle\text{A}=\angle\text{B }+\angle\text{C}\) We know that \(\angle\text{A}=\angle\text{B }+\angle\text{C}=180^\circ\) \(\Rightarrow\angle\text{A}+\angle\text{A}=180^\circ\) \(\Rightarrow\angle\text{A}=90^\circ\) Thus, \(\triangle\text{ABC}\) is a right angle triangle
THE TRIANGLE AND ITS PROPERTIES
298418
In a right triangle, if hypotenuse is H, perpendicular is P and base is B then.
1 B² = H² + P²
2 H² = P² + B²
3 H² = P² - B²
4 P² = B² + H²
Explanation:
H² = P² + B²
THE TRIANGLE AND ITS PROPERTIES
298419
If the exterior angle of a triangle is 130° and its interior opposite angles are equal, then measure of each interior opposite angle is:
1 55°
2 65°
3 50°
4 60°
Explanation:
65° As we know, the measure of any exterior angle is equal to the sum of two opposite interior angles. Let the interior angle be x. Given that, interior opposite angles are equal. \(\therefore \ 130^{\circ}=\text{x}+\text{x}\) \(\Rightarrow \ 130^{\circ}=2\text{x}\) \(\Rightarrow \ \text{x}=\frac{130^{\circ}}{2}\) \(\Rightarrow \ \text{x}=65^{\circ}\) Hence, the interior angle is = 65°.
THE TRIANGLE AND ITS PROPERTIES
298420
In the following figure, \(\triangle\text{ABC}\) is an equilateral triangle. Find \(\angle\text{x}\) 2
298417
If one angle of a triangle is equal to the sum of the other two angles, the triangle is:
1 Obtuse angle triangle
2 Acute angle triangle
3 Right angle triangle
4 None of these
Explanation:
Right angle triangle Let ABC be the triangle Given, \(\angle\text{A}=\angle\text{B }+\angle\text{C}\) We know that \(\angle\text{A}=\angle\text{B }+\angle\text{C}=180^\circ\) \(\Rightarrow\angle\text{A}+\angle\text{A}=180^\circ\) \(\Rightarrow\angle\text{A}=90^\circ\) Thus, \(\triangle\text{ABC}\) is a right angle triangle
THE TRIANGLE AND ITS PROPERTIES
298418
In a right triangle, if hypotenuse is H, perpendicular is P and base is B then.
1 B² = H² + P²
2 H² = P² + B²
3 H² = P² - B²
4 P² = B² + H²
Explanation:
H² = P² + B²
THE TRIANGLE AND ITS PROPERTIES
298419
If the exterior angle of a triangle is 130° and its interior opposite angles are equal, then measure of each interior opposite angle is:
1 55°
2 65°
3 50°
4 60°
Explanation:
65° As we know, the measure of any exterior angle is equal to the sum of two opposite interior angles. Let the interior angle be x. Given that, interior opposite angles are equal. \(\therefore \ 130^{\circ}=\text{x}+\text{x}\) \(\Rightarrow \ 130^{\circ}=2\text{x}\) \(\Rightarrow \ \text{x}=\frac{130^{\circ}}{2}\) \(\Rightarrow \ \text{x}=65^{\circ}\) Hence, the interior angle is = 65°.
THE TRIANGLE AND ITS PROPERTIES
298420
In the following figure, \(\triangle\text{ABC}\) is an equilateral triangle. Find \(\angle\text{x}\) 2
298417
If one angle of a triangle is equal to the sum of the other two angles, the triangle is:
1 Obtuse angle triangle
2 Acute angle triangle
3 Right angle triangle
4 None of these
Explanation:
Right angle triangle Let ABC be the triangle Given, \(\angle\text{A}=\angle\text{B }+\angle\text{C}\) We know that \(\angle\text{A}=\angle\text{B }+\angle\text{C}=180^\circ\) \(\Rightarrow\angle\text{A}+\angle\text{A}=180^\circ\) \(\Rightarrow\angle\text{A}=90^\circ\) Thus, \(\triangle\text{ABC}\) is a right angle triangle
THE TRIANGLE AND ITS PROPERTIES
298418
In a right triangle, if hypotenuse is H, perpendicular is P and base is B then.
1 B² = H² + P²
2 H² = P² + B²
3 H² = P² - B²
4 P² = B² + H²
Explanation:
H² = P² + B²
THE TRIANGLE AND ITS PROPERTIES
298419
If the exterior angle of a triangle is 130° and its interior opposite angles are equal, then measure of each interior opposite angle is:
1 55°
2 65°
3 50°
4 60°
Explanation:
65° As we know, the measure of any exterior angle is equal to the sum of two opposite interior angles. Let the interior angle be x. Given that, interior opposite angles are equal. \(\therefore \ 130^{\circ}=\text{x}+\text{x}\) \(\Rightarrow \ 130^{\circ}=2\text{x}\) \(\Rightarrow \ \text{x}=\frac{130^{\circ}}{2}\) \(\Rightarrow \ \text{x}=65^{\circ}\) Hence, the interior angle is = 65°.
THE TRIANGLE AND ITS PROPERTIES
298420
In the following figure, \(\triangle\text{ABC}\) is an equilateral triangle. Find \(\angle\text{x}\) 2
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