# Triangle – Geometry – Part III – Solved Questions

### Watch the third video session on “Triangle – GEOMETRY” – concepts and solved questions!

Questions discussed in this session :

1. PQRS is a square. Points P and Q are joined with a point T lying inside the square such that ∆PQT is an equilateral point. If the line joining Q and S intersects the side PT at point O, what is the measure of angle ∠POQ. (please refer to the video for figures)
1. 45°
2. 75°
3. 60°
4. 55°
2. PQRS is a square. Points R and S are joined with a point T lying outside the square such that ∆RST is an equilateral point. If the line joining Q and T intersects the side RS at point O, what are the measures of angle ∠STO and ∠RQO. (please refer to the video for figures)
1. 15°; 45°
2. 30°; 30°
3. 45°; 15°
4. Cannot be determined
3. In the ∆PQR, RS is the angle bisector and ∠RSQ=90°. The lengths of the sides of the triangle are given in terms of ‘a’ and ‘b’. The values of a and b are: (please refer to the video for figures)
1. 8 , 15
2. 10 , 12
3. 16 , 8
4.  6 , 12
4. ∆PQR is right angled at R, also ∆RSQ is right angled at S as shown in the figure. If, the lengths of the sides of the ∆RSP are given as shown, the lengths of QS & QR are: (please refer to the video for figures)
1. 3.5 , 2.2
2.  2.25 , 3.75
3. 3.5 , 2.25
4. 3.75 , 2.2
5. In the given figure PR || TU || QS. The lengths of QS, QV, VU, PR are 18, 10 and 5 and 15 cm respectively. What is the length of side QR?(please refer to the video for figures)
1. 28 cm
2. 22 cm
3. 25 cm
4. Cannot be determined

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