Advertisements
Advertisements
Question
In ∆ABC, AB = `6sqrt(3)` cm, AC = 12 cm, and BC = 6 cm then m∠A = ?
Options
30°
60°
90°
45°
Advertisements
Solution
30°
Explanation:
We know that, `6 = 1/2(12)`
And `6sqrt(3) = sqrt(3)/2 (12)`
∴ `BC = 1/2 AC` and `AB = sqrt(3)/2 AC`
∴ ∠A = 30° ...(Converse of 30° - 60° - 90° theorem)
APPEARS IN
RELATED QUESTIONS
In ∆PQR, PQ = √8 , QR = √5 , PR = √3. Is ∆PQR a right-angled triangle? If yes, which angle is of 90°?
In the rectangle WXYZ, XY + YZ = 17 cm, and XZ + YW = 26 cm. Calculate the length and breadth of the rectangle?
In the adjacent figure, ABC is a right angled triangle with right angle at B and points D, E trisect BC. Prove that 8AE2 = 3AC2 + 5AD2
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
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?
If the sides of a triangle are in the ratio 5 : 12 : 13 then, it is ________
The incentre is equidistant from all the vertices of a triangle
Check whether given sides are the sides of right-angled triangles, using Pythagoras theorem
8, 15, 17
Check whether given sides are the sides of right-angled triangles, using Pythagoras theorem
24, 45, 51
The area of a rectangle of length 21 cm and diagonal 29 cm is __________
In right angled triangle, if sum of the squares of the sides of right angle is 169, then what is the length of the hypotenuse?
A rectangle having length of a side is 12 and length of diagonal is 20, then what is length of other side?
If the length of diagonal of square is `sqrt(2)`, then what is the length of each side?
If length of both diagonals of rhombus are 60 and 80, then what is the length of side?
If a triangle having sides 50 cm, 14 cm and 48 cm, then state whether given triangle is right angled triangle or not
