Advertisements
Advertisements
Question
In a ∆ABC, AD is the bisector of ∠BAC. If AB = 8 cm, BD = 6 cm and DC = 3 cm. The length of the side AC is
Options
6 cm
4 cm
3 cm
8 cm
Advertisements
Solution
4 cm
Explanation;
Hint:
Since AD is the bisector of ∠A
`"BD"/"DC" = "AB"/"AC"`
`6/3 = 8/"AC"`
AC = `(3 xx 8)/6`
= 4 cm
APPEARS IN
RELATED QUESTIONS
Sides of the triangle are 7 cm, 24 cm, and 25 cm. Determine whether the triangle is a right-angled triangle or not.
In the rectangle WXYZ, XY + YZ = 17 cm, and XZ + YW = 26 cm. Calculate the length and breadth of the rectangle?
5 m long ladder is placed leaning towards a vertical wall such that it reaches the wall at a point 4 m high. If the foot of the ladder is moved 1.6 m towards the wall, then find the distance by which the top of the ladder would slide upwards on the wall.
Two poles of heights 6 m and 11 m stand vertically on a plane ground. If the distance between their feet is 12 m, what is the distance between their tops?
Check whether given sides are the sides of right-angled triangles, using Pythagoras theorem
12, 13, 15
Choose the correct alternative:
If length of both diagonals of rhombus are 60 and 80, then what is the length of side?
Choose the correct alternative:
In ∆ABC, AB = `6sqrt(3)` cm, AC = 12 cm, and BC = 6 cm, then m∠A = ?
If a triangle having sides 50 cm, 14 cm and 48 cm, then state whether given triangle is right angled triangle or not
If a triangle having sides 8 cm, 15 cm and 17 cm, then state whether given triangle is right angled triangle or not
In a right angled triangle, right-angled at B, lengths of sides AB and AC are 5 cm and 13 cm, respectively. What will be the length of side BC?
