Altitudes

Q.

Side of an equilateral triangle is $16cm$, its altitude is ____________ .

Q. Which of the following is/are true?

1. The length of perpendicular drawn from the vertex to the opposite side is the height or altitude of the triangle.
2. The point of intersection of altitudes is orthocentre.
3. Altitudes are always inside the triangle.
4. An altitude is always perpendicular to the opposite side.

Q.

In figure, $E$ and $F$ are mid - points of the sides $AB$ and $AC$ respectively of the $\Delta ABC$. $G$ and $H$ are mid-points of the sides $AE$ and $AF$ respectively of the $\Delta AEF$. If $GH=1.8cm,$ find $BC.$

1. $7.6cm$

2. $9cm$

3. $8.2cm$

4. $7.2cm$

Q.

Question 50

Fill in the blanks to make the statement true.

The ___ triangle always has altitude outside itself.

Q. ABC is a right angled triangle right angled at A. AD is the altitude through A. E is a point on AC such that AE=CD and F is a point on AB such that AF=BD. Prove that BE=CF.

Q.

Question 144 (i)

ABC is an isosceles triangle with AB = AC and D is the mid-point of base BC (see the figure)
State three pairs of equal parts in the $\Delta ABD$ and $\Delta ACD$

Q. The perpendicular line segment from a vertex of a triangle to its opposite side is called .

1. a median
2. an altitude
3. a bisector

Q.

The ratio of two acute angles of a right triangle is $4:5$. The smaller acute angle is$\_\_\_\_\_\_\_$

Q. In a $\Delta$ABC a perpendicular of 6 cm is dropped on to the base BC which meets at D. What is the height of $\Delta$ABC ?

1. 7 cm
2. 4 cm
3. 5 cm
4. 6 cm

Q. From the figure, identify the altitude.

1. PQ
2. PM
3. PD
4. PR

Q. In a $\Delta$ABC a perpendicular of 6 cm is dropped on to the base BC which meets at D. What is the height of $\Delta$ABC?

1. 7 cm
2. 4 cm
3. 6 cm
4. 5 cm

Q. Which of the following triangles have their one side as an altitude?

1. Acute angled triangle
2. Right angled triangle
3. Obtuse angled triangle
4. Equilateral triangle

Q. How many altitudes a triangle can have?

1. One
2. Three
3. Four
4. Two

Q.

It is given that $\angle$OBC is ${90}^{\circ }$.
Then, B must be the midpoint of CE.

1. True

2. False

Q.

Median and altitude of an isosceles triangle are one and the same.

1. True

2. False

Q.

It is given that $\angle$OBC is ${90}^{\circ }$.
Then, B must be the midpoint of CE.

1. False

2. True

Q. Pick the point of intersection of the lines.

1. Incentre
2. Orthocentre
3. Centroid
4. Circumcentre

Q.

A triangle has$\_\_\_\_\_$altitude.

Q. It is given that $\angle$AMC is ${90}^{\circ }$, which of the following is/are true regarding the figure given below?

1. M must be the midpoint of side BC.
2. $\Delta AMN$ is a right angled triangle.
3. AN is a median.
4. AM is an altitude.

Q. A triangle has altitude(s).

1. 1
2. 2
3. 3
4. infinite

Q. The perpendicular line segment from a vertex of a triangle to its opposite side is called .

1. a median
2. an altitude
3. a bisector

Q. Which of the following options have one of its altitude outside the triangle?

1. 
2. 
3. 
4. 

Q. In a triangle ABC, $a=7,b=5,c=3.p_1,p_2,p_3$ are the altitudes from $A,B,C$.

Q. Which of the following options have one of its altitude outside the triangle?

1. 
2. 
3. 
4. 

Q. Identify the parts of the triangle?

1. Altitude
2. Base
3. Vertex
4. Median

Q. Which of the following triangles have their one side as an altitude?

1. Equilateral triangle
2. Acute angled triangle
3. Right angled triangle
4. Obtuse angled triangle

Q. $\text{Which of the following are true regarding}\text{the}\Delta ABC?$

1. $\text{AB is a side of the}△ABC$.
2. $\text{Side BC is opposite to}\angle ACB$.
3. $\angle ABC\text{is same as}\angle A$.
4. $\angle ACB\text{is an angle of}△ABC$.

Q. $\text{Which of the following are true regarding}\text{the}\Delta ABC?$

1. $\angle ACB\text{is an angle of}△ABC$.
2. $\text{Side BC is opposite to}\angle ACB$.
3. $\angle ABC\text{is same as}\angle A$.
4. $\text{AB is a side of the}△ABC$.

Q. In a $\Delta$ABC a perpendicular of 6 cm is dropped on to the base BC which meets at D. What is the height of $\Delta$ABC?

1. 4 cm
2. 5 cm
3. 7 cm
4. 6 cm

Q. Which of the following triangles have their one side as an altitude?

1. Acute angled triangle
2. Right angled triangle
3. Obtuse angled triangle
4. Equilateral triangle