maths

posted by .

Mid-points of the sides AB and AC of a triangle ABC are ( 3 , 5 ) and ( -3 , -3 ) respectively,then the length of the side BC is

• maths -

let A = (h,k). Then

B=(h+2(3-h),k+2(5-k))=(6-h,10-k)
C=(h+2(-3-h),k+2(-3,k))=(-6-h,-6-k)

BC^2 = 12^2+16^2 = 340
BC=√340

Similar Questions

1. Geomentry

What is the converse of the theorem statement: If a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally. If two sides of a triangle are divided in the same proportion, …
2. maths-areas

in triangle ABC P, Q AND R ARE the mid points of side AB, BC, CA.prove that area of parallelogram APQR=( 1/2)* area of triangle[ABC]
3. heeeeeeeeeeeeeeeeeeeelp maths

In triangle ABC, points D,E,F are on sides BC,CA,AB respectively such that AD,BE,CF are angle bisectors of triangle ABC. The lines AD,BE,CF are concurrent at I, the incenter of triangle ABC. If ∠BAC=92∘, what is the measure …
4. Geometry

Please answer at least one . PLEASE 1. Triangle XYZ has a right angle at Y. V,W are on XZ such that XV=XY. WZ=YZ, find ANGLE VYW . 2. STUVWXYZ is a regular octagon. Find SW/ TZ. 3. The interior angles of a convex polygon form an arithmetic …
5. Year 11 Maths

The points A(-1,-2) B(6,2) and C(4,6) form a triangle ABC. M is the mid-point of AB and N is the mid-point of AC. Prove that MN is parallel to BC and equal in length to half the length of BC.
6. MATH

.In <ABC, <A=60,<B=70,<C=50. Points D , E ,F are the mid-pointsmof the sides BC ,AC and AB respectively. Find the measures of the angles of the triangle formed by joining the mid-points of the sides of <ABC.
7. Maths

Let ABC be a triangle. Locate the point O inside the triangle ABC such that for points L, M and N lying on its sides AB, BC and CA respectively, triangles BOL, COM and AON have the same area, where LO and BC, OM and AC, NO and AB must …
8. Maths

In triangle ABC ,D and E are the mid points of BC and AC respectively prove that the area of triangle ABC is 4 times than triangle ABE
9. maths

In a triangle ABC,D and E are the mid points of BC and AD respectively.prove that the area of triangle ABC is four times to the area of triangle ABE
10. maths

The length of a side AB and side AC of an isosceles triangle ABC are 12cm and 8cm respectively. The size of an amgle C is 59°.Find the length of side AC?

More Similar Questions