3 A triangle has 3 medians. The perpendicular line segment from a vertex of a triangle to its opposite side is called an altitude of the triangle. A triangle has 3 altitudes.
THE TRIANGLE AND ITS PROPERTIES
298372
A triangle with one right angle and two acute angles is called:
1 Right angled triangle
2 Acute angled triangle
3 Equilateral triangle
4 None of these
Explanation:
Right angled triangle A triangle with a right angle and two acute angles is called right angled triangle.
THE TRIANGLE AND ITS PROPERTIES
298373
ABC is an isosceles triangle with AB = AC and AD is altitude, then ____.
1 \(\angle\text{B}>\angle\text{C}\)
2 \(\angle\text{B}<\angle\text{C}\)
3 \(\angle\text{B}=\angle\text{C}\)
4 \(\text{None of these}\)
Explanation:
\(\angle\text{B}=\angle\text{C}\) In the given triangle \(\triangle\text{ABC}\) 0 AB = AC AD is perpendicular So in \(\triangle\text{ADC}, \triangle\text{ADB}\) AD = AD Common \(\triangle\text{ADC}=\triangle\text{ADB}=90^\circ\) \(\triangle\text{ADC}\cong\triangle\text{ADB}\) \(\Rightarrow\angle\text{B}=\angle\text{C}\)
3 A triangle has 3 medians. The perpendicular line segment from a vertex of a triangle to its opposite side is called an altitude of the triangle. A triangle has 3 altitudes.
THE TRIANGLE AND ITS PROPERTIES
298372
A triangle with one right angle and two acute angles is called:
1 Right angled triangle
2 Acute angled triangle
3 Equilateral triangle
4 None of these
Explanation:
Right angled triangle A triangle with a right angle and two acute angles is called right angled triangle.
THE TRIANGLE AND ITS PROPERTIES
298373
ABC is an isosceles triangle with AB = AC and AD is altitude, then ____.
1 \(\angle\text{B}>\angle\text{C}\)
2 \(\angle\text{B}<\angle\text{C}\)
3 \(\angle\text{B}=\angle\text{C}\)
4 \(\text{None of these}\)
Explanation:
\(\angle\text{B}=\angle\text{C}\) In the given triangle \(\triangle\text{ABC}\) 0 AB = AC AD is perpendicular So in \(\triangle\text{ADC}, \triangle\text{ADB}\) AD = AD Common \(\triangle\text{ADC}=\triangle\text{ADB}=90^\circ\) \(\triangle\text{ADC}\cong\triangle\text{ADB}\) \(\Rightarrow\angle\text{B}=\angle\text{C}\)
3 A triangle has 3 medians. The perpendicular line segment from a vertex of a triangle to its opposite side is called an altitude of the triangle. A triangle has 3 altitudes.
THE TRIANGLE AND ITS PROPERTIES
298372
A triangle with one right angle and two acute angles is called:
1 Right angled triangle
2 Acute angled triangle
3 Equilateral triangle
4 None of these
Explanation:
Right angled triangle A triangle with a right angle and two acute angles is called right angled triangle.
THE TRIANGLE AND ITS PROPERTIES
298373
ABC is an isosceles triangle with AB = AC and AD is altitude, then ____.
1 \(\angle\text{B}>\angle\text{C}\)
2 \(\angle\text{B}<\angle\text{C}\)
3 \(\angle\text{B}=\angle\text{C}\)
4 \(\text{None of these}\)
Explanation:
\(\angle\text{B}=\angle\text{C}\) In the given triangle \(\triangle\text{ABC}\) 0 AB = AC AD is perpendicular So in \(\triangle\text{ADC}, \triangle\text{ADB}\) AD = AD Common \(\triangle\text{ADC}=\triangle\text{ADB}=90^\circ\) \(\triangle\text{ADC}\cong\triangle\text{ADB}\) \(\Rightarrow\angle\text{B}=\angle\text{C}\)
3 A triangle has 3 medians. The perpendicular line segment from a vertex of a triangle to its opposite side is called an altitude of the triangle. A triangle has 3 altitudes.
THE TRIANGLE AND ITS PROPERTIES
298372
A triangle with one right angle and two acute angles is called:
1 Right angled triangle
2 Acute angled triangle
3 Equilateral triangle
4 None of these
Explanation:
Right angled triangle A triangle with a right angle and two acute angles is called right angled triangle.
THE TRIANGLE AND ITS PROPERTIES
298373
ABC is an isosceles triangle with AB = AC and AD is altitude, then ____.
1 \(\angle\text{B}>\angle\text{C}\)
2 \(\angle\text{B}<\angle\text{C}\)
3 \(\angle\text{B}=\angle\text{C}\)
4 \(\text{None of these}\)
Explanation:
\(\angle\text{B}=\angle\text{C}\) In the given triangle \(\triangle\text{ABC}\) 0 AB = AC AD is perpendicular So in \(\triangle\text{ADC}, \triangle\text{ADB}\) AD = AD Common \(\triangle\text{ADC}=\triangle\text{ADB}=90^\circ\) \(\triangle\text{ADC}\cong\triangle\text{ADB}\) \(\Rightarrow\angle\text{B}=\angle\text{C}\)
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