Right Triangles Having Common Edges

Q.

What is the Perimeter of the given figure ABCD ?

1. $6\sqrt{3}$ m

2. 3 + $2\sqrt{3}$ m

3. 6 + $2\sqrt{3}$ m

4. $3\sqrt{6}$ m

Q.

What is the Length of the side AD in the given figure?

1. $2\sqrt{5}$ m

2. $\sqrt{3}$ m

3. $\sqrt{5}$ m

4. $2\sqrt{2}$ m

Q.

What is the perimeter of $△$ ADE given in the figure?

1. 8 + $4\sqrt{2}$ cm

2. 12 + $4\sqrt{3}$ cm

3. 8 + $4\sqrt{3}$ cm

4. 4 + $4\sqrt{3}$ cm

Q. In the given figure, O is a point in the interior of a $△ABC$, OD $\perp$ BC, OE $\perp$ AC and OF $\perp$ AB. Then, $O{A}^2+O{B}^2+O{C}^2-O{D}^2-O{E}^2-O{F}^2=A{F}^2-B{D}^2-C{E}^2$

1. False
2. True

Q.

What is the perimeter of the given figure ABCD ? ( Take $\sqrt{2}$ = 1.4 and $\sqrt{5}$ = 2.2 )

1. 5 m

2. 6 m

3. 6$\sqrt{2}$ m

4. 6.8 m

Q. What is the length of the side AD? [2 marks]

1. $\sqrt{3}$
2. 3
3. $\sqrt{2}$
4. 1

Q. Which of these numbers lie between 5 and 6?

1. sq rt 30
2. sq rt 20
3. sq rt 25
4. sq rt 40

Q. In an isosceles $△$ ABC, AB = AC = 25 cm, BC = 14 cm. Calculate the value of AD