Pythagoras theorem
Top questions
See all →- 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
- 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
- Seg AM is a median of ∆ABC. If AB = 22, AC = 34, BC = 24, find AM. ∴ AM = 26 units 1
- Find the length of a diagonal of a rectangle having sides 11 cm and 60 cm. Answer: 61 cm A diagonal divides the rectangle into two right-angled triangles, with the sides of the rectangle as the legs and the diagonal... 1