Geometry
- Find QP using given information in the figure. geometry 10th similarity ex 1.2 q6 Answer is 22.4 units https://youtu.be/jUVX-PkzvP4 1
- In trapezium ABCD, side AB || side PQ || side DC, AP = 15, PD = 12, QC = 14, find BQ. Answer is 17.5 units https://youtu.be/CcaZK-Xttpg 2
- Measures of some angles in the figure are given. Prove that APPB = AQQC Proof in this video https://youtu.be/UCQKZkO2w6A 1
- In ∆MNP, NQ is a bisector of ∠N. If MN = 5, PN = 7, MQ = 2.5, then find QP. QP= 3.5 units https://youtu.be/4AH6mOn1r0I 2
- In ∆PQR PM = 15, PQ = 25, PR = 20, NR = 8. State whether line NM is parallel to side RQ. Give reason. it is prooved by Converse of Basic propertionality theorem https://youtu.be/eUKCnwjkNEc 2
- Given below are some triangles and lengths of line segments. Identify in which figures, ray PM is the bisector of ∠QPR Answer:: Yes , NO , Yes Solution:: https://youtu.be/wo9-RFWTlo8 1
- In adjoining figure PQ ⊥ BC, AD ⊥ BC then find following ratios. Q5 All Question is solved https://youtu.be/nxzNVLMMEl8 Similarity Notes :: https://drive.google.com/file/d/13YAVLNHcjPc5z6tYxvFIr0L1SzAw8i6R/vi... 1
- In adjoining figure, AP ⊥ BC, AD || BC, then find A(ΔABC) : A (ΔBCD) Correct answer is 1:1 https://youtu.be/usckRy2WdA0 2
- In adjoining figure 1.14 seg PS ⊥ seg RQ , seg QT ⊥ seg PR. If RQ = 6, PS = 6 and PR = 12, then find QT. Correct answer is 3 1
- If figure 1.13 BC ⊥ AB, AD ⊥ AB, BC = 4, AD = 8, then find A(△ ABC)/A(△ADB) Correct answer is 1/2 or 1:2 https://youtu.be/SW96gvgg-fo Similarity Notes :: https://drive.google.com/file/d/13YAVLNHcjPc5z6tYxvFIr0L1SzAw8... 1
- Base of a triangle is 9 and height is 5 . base of another triangle Correct answer is 3/4 or 3:4 Video Solution:: https://youtu.be/DzuJr-mGtzc Image solution:: 1
- In the adjoining figure, ∠QPR = 90°, seg PM ⊥ seg QR and Q – M – R, PM = 10, QM = 8, find QR. In ∆PQR, ∠QPR = 90° and [Given] seg PM ⊥ seg QR ∴ PM² = OM × MR [by Theorem of geometric mean] ∴ 10² = 8 × MR ∴ MR = 100over8 = 12.5 Now, QR... 1
- In ∆PQR, point S is the midpoint of side QR. If PQ = 11, PR = 17, PS = 13, find QR. In ∆PQR, point S is the midpoint of side QR. [Given] ∴ seg PS is the median. ∴ PQ² + PR² = 2 PS² + 2 SR² [Apollonius theorem] ∴ 11² + 17² =... 1
- Identify, with reason, which of the following are Pythagorean triplets. i. (3,5,4) Here, 5² = 25 3² + 4² = 9 + 16 = 25 ∴ 5² = 3² + 4² The square of the largest number is equal to the sum of the squares of the oth... 1
- In the given figure, if LK = 6√3 find MK, ML, KN, MN and the perimeter of MNKL Solution:: In triangle space LKM , tan30^∘ =MLover LK ⇒ ML=6√( 3 ) × 1 / √( 3 ) =6 cos 30 ^(°) = LK / MK ⇒ MK=dfrac LK cos 30 ^(°) = 6√( 3 )... 1
- Walls of two buildings on either side of a street are parallel to each other. A ladder 5.8 m long is placed Solution:: Correct answer is 8.2 m Video solution https://youtu.be/WmtS_3V0VKQ 1
- A ladder 25m long just reaches the top of a building 24m Given: length of ladder= 25 m building height=24 m By pythagoras theorem , x²=25² -24² =625-576 x²=49 x= 7 Hence the answer is 7 m https://y... 1
- Find the diagonal of a rectangle whose lengths of sides is 8cm and 15cm. The length of diagonal is 17 cm 1