WebThe figure below shows triangle OAB in which M divides OA in the ratio 2:3 and N divides OB in the ratio 4:1. AN and BM intersect at X. (a) Given that OA=a and OB=b, express in terms of a and b: (i) AN (ii) BM (b) If AX=sAN and BX=tBM, where s and t are constants, write two expressions for OX in terms of a, b, s and t. WebProve that the orthocenter of triangle ADE is the midpoint of BC. 31For an acute triangle 4ABC with orthocenter H, let H Abe the foot of the altitude from A to BC, and define H Band H Csimilarly. Show that H is the incenter of 4H AH BH C. 32[AMC 10A 2013] In 4ABC, AB = 86, and AC = 97.
Isometry Constructions from Triangles and Segments
WebMay 16, 2024 · In a triangle OAC, if B is the mid-point of side AC and →OA = →a, O A → = a →, →OB = →b, O B → = b →, then what is →OC O C → ? vector algebra class-12 1 Answer 0 votes answered May 16, 2024 by Kaina (30.5k points) selected May 16, 2024 by Lakhi Best answer Given that the position vectors of point A and B are →a a → and →b b → . WebThe Midpoint Formula does the same thing. If one X-value is at 2 and the other X-value is at 8, to find the X-value halfway between them, you add 2+8 and divide by 2 = 5. Your would repeat the process for the Y-values to find the Y-coordinate of the midpoint. 1 comment. ( … grady\\u0027s records ventura
In a triangle OAC, if B is the mid-point of side AC and vector(OA ...
WebJan 15, 2024 · Solution: Let in triangle Δ O A B right angled at A. Where O is origin and a → is vector along O A and b → is vector along O B. Let C be the mid point of hypotenuse O B. … WebRight Answer is: SOLUTION. As B is the mid-point of side AC so, →OB=→OA+→OC2 i.e., →b=→a+→OC2. Therefore, →OC=2→b−→a. Related Questions. Find a vector of … WebIn triangle ABC, ∠A=30 o, H is the orthocentre and D is the midpoint of BC. Segment HD is produced to T such that HD=DT. The length AT is equal to A 2BC B 3BC C 34BC D None of these Medium Solution Verified by Toppr Correct option is A) Let us assume that the circumcenter of ABC is O and is situated at the origin of the coordinate plane. china a5 sketch books