Finding Ratio of Sides in Triangle When Angles Are Given

Q.

What is the ratio between length of perpendicular AO and the perimeter of the $△$ABC?

1. 1 : 2

2. 1 : $2\sqrt{2}$

3. 1 : 2(1 + $\sqrt{2})$

4. 1 : (2 + $\sqrt{2}$)

Q.

PCB is a right angled triangle. Find AB : PC, given BC = 4 cm.

1. $2\sqrt{2}$ : 1

2. $\sqrt{2}$ : 2

3. $\sqrt{2}$ : 1

4. 1 : $\sqrt{2}$

Q.

A right triangle has two sides of lengths 4 m and 4 m respectively. Find the length of the hypotenuse by using ratio of sides concept.

1. 2$\sqrt{2}$m

2. 4$\sqrt{3}$m

3. 4$\sqrt{2}$m

4. 3$\sqrt{2}$m

Q.

What is the length of BC in the given figure?

1. $2\sqrt{2}$ units

2. 4 units

3. $\sqrt{2}$ units

4. $4\sqrt{2}$ units

Q.

In a 45-45-90 right-angled triangle what is the length of the hypotenuse if the base is 1 cm?

1. √2 cm

2. 2√2 cm

3. 1.2 cm

4. √3 cm

Q.

What is the ratio between AE and AF if EF = 1m ?

1. 1 : $\sqrt{5}$

2. 2 : $\sqrt{5}$

3. 1 : $\sqrt{3}$

4. $\sqrt{5}$ : 3

Q.

In a right-angled triangle, if the lengths of the two legs are 1 m each, the length of the hypotenuse is a whole number.

1. True

2. False

Q.

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

1. $\sqrt{3}$ m

2. $\sqrt{2}$ m

3. $\sqrt{5}$ m

4. $\sqrt{7}$ m

Q.

Find the length of AC in the given figure, if the sides are in the ratio $1:\sqrt{3}:2$

1. $\sqrt{2}$ metres

2. $\sqrt{5}$ metres

3. 1 metre

4. $\sqrt{3}$ metres

Q.

What is the Ratio between KQ and KM? PQRS is a square and K and M are midpoints of PQ and QR respectively.

1. 1 : 2

2. 1 : $\sqrt{2}$

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

4. 2 : $\sqrt{2}$