Visualising Pythagoras Theorem

Q. Two poles of heights 6m and 11m stand on a plane ground. If the distance between the feet of the poles is 12m, find the distance between their tops.

1. $15m$
2. $14m$
3. $13m$
4. $16m$

Q.

ABC is an equilateral triangle, P is a point on BC such that BP : PC = 2 : 1. Then $\frac{A{P}^2}{A{B}^2}=$

1. $\frac{9}{7}$

2. $\frac{7}{9}$

3. $\frac{3}{5}$

4. $\frac{5}{3}$

Q.

Two poles of heights 6 m and 11 m stand on a plane ground. If the distance between the feet of the poles is 12 m, then find the distance between their tops.

Q.

Fill in the Blank.

Difference of any two sides of a triangle is ___ than the third side.

Q.

In a right angled triangle, as shown below, if AB=3 cm, BC=4 cm then what is the value of cos A?

1. 

2. 

3. 

4. 

Q.

Two poles of heights 6 m and 11 m stand on a plane ground. If the distance between the feet of the poles is 12 m, then find the distance between their tops.

1. 12

2. 10

3. 11

4. 13

Q.

In a right angled triangle, as shown below, if AB=3 cm, BC=4 cm then what is the value of cos A?

1. 

2. 

3. 

4. 

Q. If D is a point on the side BC of ΔABC, then prove that
AB+BC+ CA>2AD.

Q. If $sin\theta =\frac{4}{5}$ , then the value of cos$\theta$

1. 
2. 
3. 
4. 

Q.

The distance between the tops of two trees 20 m and 28 m high is 17 m. The horizontal distance between the trees is –

1. 11 m

2. 21 m

3. 15 m

4. 9 m

Q.

Can a triangle be constructed with sides of given lengths?

$8,10,12$

Q.

In a triangle the sum of any sides is

1. less than the third side

2. equal to the third side

3. greater than the third side

4. twice the third side

Q.

In triangle ABC, AB > AC and D is a point in side BC.
then, AB > AD.

If the above statement is true then mention answer as 1, else mention 0 if false