Question

Let O be the center of circumscribed circle of ABC triangle. Let a, b, c be...

Let O be the center of circumscribed circle of ABC triangle. Let a, b, c be the vectors pointing from O to the vertexes. Let M be the endpoint of a + b + c measured from O. Prove that M is the orthocenter of ABC triangle.

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A circle is circumscribed about a triangle with vertices A(3,-2), B(2,5), and C(-1,6). Find the coordinates...
A circle is circumscribed about a triangle with vertices A(3,-2), B(2,5), and C(-1,6). Find the coordinates of the circumcenter (the center of the circumscribed circle).
PLEASE USE JAVA Write a program that draws the circumscribed circle (also known as the circumcircle)...
PLEASE USE JAVA Write a program that draws the circumscribed circle (also known as the circumcircle) of a given triangle ABC; this circle passes through points A, B, and C. These points will be specified by the user by clicking the mouse button. Remember, the three perpendicular bisectors of the three edges of a triangle all pass through one point, the circumcenter, which is the center of the circumscribed circle.
Let A=(0,0), B=(1,1), C=(-1,1), A'(2,0),B'(4,0), C'(2,-2).Show that triangle ABC and triangle A'B'C' satisfy the hypothesis of...
Let A=(0,0), B=(1,1), C=(-1,1), A'(2,0),B'(4,0), C'(2,-2).Show that triangle ABC and triangle A'B'C' satisfy the hypothesis of Proposition 2.3.4 in taxicab geometry but are not congruent in it
Let J be a point in the interior of triangle ABC. Let D, E, F be...
Let J be a point in the interior of triangle ABC. Let D, E, F be the feet of the perpendiculars from J to BC, CA, and AB, respectively. If each of the three quadrilaterals AEJF, BFJD, CDJE has an inscribed circle tangent to all four sides, then J is the incenter of ∆ABC. It is sufficient to show that J lies on one of the angle bisectors.
Given △ABC, extend sides AB and AC to rays AB and AC forming exterior angles. Let...
Given △ABC, extend sides AB and AC to rays AB and AC forming exterior angles. Let the line rA be the angle bisector ∠BAC, let line rB be the angle bisector of the exterior angle at B, and let line rC be the angle bisector of the exterior angle at C. • Prove that these three rays are concurrent; that is, that they intersect at a single point. Call this point EA • Prove that EA is the center of...
In triangle ABC , let the bisectors of angle b meet AC at D and let...
In triangle ABC , let the bisectors of angle b meet AC at D and let the bisect of angle C meet at AB at E. Show that if BD is congruent to CE then angle B is congruent to angle C.
Suppose in triangle ABC ma and mb are the lengthsof the medians from A and B...
Suppose in triangle ABC ma and mb are the lengthsof the medians from A and B respectively. Prove that if a≥b then ma≤mb (recall the convention that in triangle ABC, a=BC and b=AC
In a circle with center O, consider two distinct diameters: AC and BD. Prove that the...
In a circle with center O, consider two distinct diameters: AC and BD. Prove that the quadrilateral ABCD is a rectangle. Include a labeled diagram with your proof.
Let C1 be a circle with radius a C2 a circle with radius b, and let...
Let C1 be a circle with radius a C2 a circle with radius b, and let the centers of C1 and C2 have a distance of c apart. In terms of a,b, and c prove: When C1 n C2 when are there zero intersection points? Prove this When are there two intersection points? Prove this When are three intersection points? Prove this
ABC is a right-angled triangle with right angle at A, and AB > AC. Let D...
ABC is a right-angled triangle with right angle at A, and AB > AC. Let D be the midpoint of the side BC, and let L be the bisector of the right angle at A. Draw a perpendicular line to BC at D, which meets the line L at point E. Prove that (a) AD=DE; and (b) ∠DAE=1/2(∠C−∠B) Hint: Draw a line from A perpendicular to BC, which meets BC in the point F
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT