Given the triangle ABC, let D be on AC (extended if necessary) so that BD is an altitude (that is, BD is perpendicular to AC) and let E lie on AB so that CE is an altitude. Let H be the point where BD and CE meet. Show that if HB = HC, then AB = AC

Q: a. · b = . ) Find a ⋅ b if |a| = 2, |b| = 2, and the angle between a and b is - radians.

A: a⋅b≈3.76Explanation:The dot product of A and B is,a⋅b=∣a∣∣b∣cosθ Given the…

Q: 16. Identifyeach of the following from the dia gram: a. Median b. Angle Bisec tor c. Perpendicular…

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Q: ombus D С-а, 0) B(0, -b) E.

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Q: Let ä= and b =. Find k so that a and b will be orthogonal (form a 90 degree angle). k=

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Q: Find a · b, Ja| = 8, |b| = 3, the angle between a and b is 2t/3

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Q: Find a b if la| = 20, [b| = 1, and the angle between a and b is t/4. nswer:

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Q: The points P: (-2,0,0), Q: (0,1,1) and R: (1,2,1) are givena. determine the angle in the triangle…

A: Solution  a) To determine the angle at corner Q in triangle ΔPQR, we can use the dot product…

Q: Find a positive angle less than 360° or 2π that is coterminal with the given angle -445°

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Q: Let AD, BE, and CF be the altitudes of the acute triangle AABC. Let H be the orthocenter of AABC.…

A: Altitude is a perpendicular line drawn from the vertex of a triangle to a side opposite to the…

Q: determine the transversal that forms them. 12 43 9ho 1211 56 78 ANGLE PAIR TYPE TRANSVERSAL 2 1 & 5…

A: Given:

Q: 1) Use the law of cosines to find angle "A". C b = 10 C= 15 B a = 7

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Q: Ex. 2: Sketch each angle in standard position and label its quadrant. Then, sketch an angle that is…

A: Note: Coterminal angles are angles in standard position (angles with the initial side on the…

Q: The angle between u and v is theta where costheta = 4/21. Find t if u = [6,4,-2] and v = [-2,t,-4]

A: Step 1:Step 2: Step 3: Step 4:

Q: Find a · b if Jal = 12, |b| = 4, and the angle between a and b is a/3. %3D Answer:

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Q: Let A

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Q: the angle bluen a-inj+k is Sind myo 3. b=mi-k %3D

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Q: a. · b = . ) Find a ⋅ b if |a| = 2, |b| = 2, and the angle between a and b is - radians.

A: a • b = 3.75877  Explanation:

Q: Label the parts of the right triangle using as the reference angle. I L-J I e L ---- r

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Q: Find the angle between AtZB and B+.A ?where F= i+2j-3K and B = 3i-j + 2K Parallel to

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Q: In OQ, AB =70°, DE = 40°, and BC = 50° Find the specified angles. Line PA is tangent to circle Q. A…

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Q: If ZDBC is a right angle and mZCBA = 90°, which statment must be true? A D OABA bisects ZDBC O B. AB…

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Q: ā − Let a = and b = . - Find k so that a and b will be orthogonal (form a 90 degree angle). k=

A: Let .To find  will be orthogonal.

Q: 4 m21 = m22 = m23 = m24 = m25 = 44° 5, 1 3.

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