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(5) In a TRIANGL ABC, AD is the
bisector of ZBAC. If AB = 6 cm,
AC = 5 cm and BD = 3 cm, then
*
DC =
113 cm
Answers
Explanation:
Here, we can see that ∠BAC is bisected by AD where AD touches BC at D. BC=BD+DCwhere, BC=3cm. We also have the values of adjacent sides AB=6cmand AC=5cm.
These satisfy the requirements of angle bisector theorem. Then, by the theorem, we have:
ABBD=ACDC
⇒DC=AC∗BDAB=5∗36=2.5cm
Happy math!!
In a triangle ABC, AD is the bisector of angle BAC. If AB=16cm, BD=12cm, and DC=3cm, what is AC?
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In a triangle ABC, AD is the bisector of angle A, meeting side BC at D. If AB=10 cm, AC=6 cm, and BC=12 cm, what are the lengths of BD and DC?
In triangle ABC, AD is the angle bisector of angle BAC, and angle BAD is equal to 30 degrees. If AB equals 4 cm and AC equals 3 cm, how do you find the length of AD?
AD is the bisector of BC. If BD = 4cm, DC= 3cm and AB=6cm, what is AC=?
By Angle bisector theorem: which states that, the ratio of any 2 sides of a triangle is equal to the ratio of the lengths of the segments formed on its third side, by the angle bisector of the angle formed by those 2 sides.
So, here, AB/AC = BD/DC
=> 6/5 = 3 / DC
=> DC = 15/6 = 5/2 = 2.5 cm
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AB/Ac=bd/CD,6/5=3/CD, cd=2.5
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2.5
BD/DC=AB/AC=>BD/DC=6/5,BD being 3,DC=5BD/6=5×3/6=2/5cm.Ans..
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2.5
In a triangle ABC, AD is the bisector of angle BAC. If AB=16cm, BD=12cm, and DC=3cm, what is AC?
In a triangle ABC, AD is the bisector of angle A. If AB =3 AC=6 and BC=3√3. What is the length of AD?
In a triangle ABC, AD is the bisector of angle A, meeting side BC at D. If AB=10 cm, AC=6 cm, and BC=12 cm, what are the lengths of BD and DC?
In triangle ABC, AD is the angle bisector of angle BAC, and angle BAD is equal to 30 degrees. If AB equals 4 cm and AC equals 3 cm, how do you find the length of AD?
AD is the bisector of BC. If BD = 4cm, DC= 3cm and AB=6cm, what is AC=?
In triangle ABC, AD is the angle bisector of angle BAC. If I is its incentre, then how will you prove that AI/ID= (BA+CA) /BC?
In triangle ABC, AD is the bisector of angle BAC. Prove that AB>BD.
In a triangle ABC angle BAC = 90, AD is its bisector. If DE is perpendicular AC, AB = 4cm and AC = 6cm then find 12/DE in cm?
AD bisects the angle A of triangle ABC and meets BC at D. If BC = k, CA = l and AB = m, what is DC?
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