Question

In △ABC, AB = 15 cm, BC = 10 cm, and AC = 6 cm. Find...

In △ABC, AB = 15 cm, BC = 10 cm, and AC = 6 cm. Find the measure of angle B to the nearest degree.

Homework Answers

Answer #1

Given:- AB = 15 cm, BC = 10 cm, AC = 6 cm

let AB = a = 15 cm, BC = b = 10 cm, AC = c = 6 cm

To calculate angle B:-

Using cosine formula for angle B,

That is,.

Here, a = 15, b = 10, c = 6

Using this formula,

  

  

  

So, angle B = (26.56)°

  

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Suppose that the incircle of triangle ABC touches AB at Z, BC at X, and AC...
Suppose that the incircle of triangle ABC touches AB at Z, BC at X, and AC at Y . Show that AX, BY , and CZ are concurrent.
In an isosceles triangle ABC ,AB‌=BC,angle B=20 . M and N are on AB and BC...
In an isosceles triangle ABC ,AB‌=BC,angle B=20 . M and N are on AB and BC respectively such that angle MCA =60, angle NAC =50.find angle MNC
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
represent the simplest reduction of (ab' + ac)' a) a' + bc' b) a' + b'c...
represent the simplest reduction of (ab' + ac)' a) a' + bc' b) a' + b'c c) a + bc' d) a + bc
Suppose △ABC and △A'B'C' are triangles such that line AB || to line A'B', line BC...
Suppose △ABC and △A'B'C' are triangles such that line AB || to line A'B', line BC || to line B'C', and line AC || to line A'C'. Prove that △ABC ~ △A'B'C'.
If in triangle ABC and Triangle XYZ we have AB = XY, AC = XZ, but...
If in triangle ABC and Triangle XYZ we have AB = XY, AC = XZ, but m<A > m<X, then BC > YZ. Conversely, if BC > YZ then m<A > m<X.
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 the rectangle ABCD, AB = 6 and BC = 8. The diagonals AC and BD...
In the rectangle ABCD, AB = 6 and BC = 8. The diagonals AC and BD intersect at O. Point P lies on the diagonal AC such that AP = 1. A line is drawn from B through P and meets AD at S. Let be R a point on AD such that OR is parallel to BS. a) Find the lengths of AS and RD. Hint: Denote AS = x. Use P S k OR and OR k BS...
Prove that if A*B*C, then ray AB = ray AC and ray BC is a subset...
Prove that if A*B*C, then ray AB = ray AC and ray BC is a subset of ray AC
Consider the triangle ABC. Suppose that the perpendicular bisectors of line segments AB and BC intersect...
Consider the triangle ABC. Suppose that the perpendicular bisectors of line segments AB and BC intersect at point X. Prove that X is on the perpendicular bisector of line segment AC.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT