Advertisements
Advertisements
प्रश्न
Choose the correct alternative:
In ∆ABC, AB = `6sqrt(3)` cm, AC = 12 cm, and BC = 6 cm, then m∠A = ?
पर्याय
30°
60°
90°
45°
Advertisements
उत्तर
30°
We know that, 6 = `1/2`(12) and
`6sqrt3 = sqrt3/2 (12)`
∴ BC = `1/2 "AC and AB" = sqrt3/2 "AC"`
∴ ∠A = 30° ...(Converse of 30°-60°-90° theorem)
APPEARS IN
संबंधित प्रश्न
The hypotenuse of a right triangle is 6 m more than twice of the shortest side. If the third side is 2 m less than the hypotenuse, find the sides of the triangle
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
If in ∆ABC, DE || BC. AB = 3.6 cm, AC = 2.4 cm and AD = 2.1 cm then the length of AE is
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
If the sides of a triangle are in the ratio 5 : 12 : 13 then, it is ________
Check whether given sides are the sides of right-angled triangles, using Pythagoras theorem
12, 13, 15
Check whether given sides are the sides of right-angled triangles, using Pythagoras theorem
9, 40, 41
Check whether given sides are the sides of right-angled triangles, using Pythagoras theorem
24, 45, 51
Choose the correct alternative:
A rectangle having length of a side is 12 and length of diagonal is 20, then what is length of other side?
Choose the correct alternative:
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
If a triangle having sides 8 cm, 15 cm and 17 cm, then state whether given triangle is right angled triangle or not
A rectangle having dimensions 35 m × 12 m, then what is the length of its diagonal?
In ΔABC, AB = 9 cm, BC = 40 cm, AC = 41 cm. State whether ΔABC is a right-angled triangle or not. Write reason.
In the given figure, triangle PQR is right-angled at Q. S is the mid-point of side QR. Prove that QR2 = 4(PS2 – PQ2).
