In - ABC- if - C -90- - A -30- c -20- then the values of a and b areA- 10-10- 10-10 -3C- 5-5 -3D- 8-8 -3

The correct option is B 10, 10 √(3) ∠ c = 90^∘, ] ∠ A = 30^∘, c = 20, then a= c sin A/sin C = 10 and b = c sin B/sin C = 10 √(3). Trick : Since the angles are ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Mathematics

Sine Rule

In Δ ABC, if ...

Question

In $Δ A B C, i f ∠ C = 90^{\circ}, ∠ A = 30^{\circ}, c = 20$ , then the values of a and b are

$10, 10$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$10, 10 \sqrt{3}$

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

$5, 5 \sqrt{3}$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$8, 8 \sqrt{3}$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B
$10, 10 \sqrt{3}$

$∠ c = 90^{\circ},] ∠ A = 30^{\circ}, c = 20, t h e n a = \frac{c s i n A}{s i n C} = 10 a n d b = \frac{c s i n B}{s i n C} = 10 \sqrt{3} .$
Trick : Since the angles are $30^{\circ}, 60^{\circ}, 90^{\circ}$
therefore sides must be $1 : \sqrt{3} : 2. H e n c e, a = 10, b = 10 \sqrt{3} .$

Suggest Corrections

Similar questions

In $Δ A B C, i f ∠ C = 90^{\circ}, ∠ A = 30^{\circ}, c = 20$ , then the values of a and b are

If $2 ∠ A = 3 ∠ B = 6 ∠ C$ in a $Δ A B C$ , then $∠ A$ , $∠ B$ , $∠ C$ are

In a $△$ ABC if 2 $∠$ A = 3 $∠$ B = 6 $∠$ C, then $∠$ A, $∠$ B, $∠$ C are

Q. If

\vec{a}, \vec{b} and \vec{c}

are the position vectors of the vertices A, B and C respectively of a

∆ A B C such that |\vec{a} \times \vec{b} + \vec{b} \times \vec{c} + \vec{c} \times \vec{a}| = 20,

then area of

∆ A B C

is ____________.

Let a, b and c be positive constants. The value of ‘a’ in terms of ‘c’ if the value of integral $\int_{0}^{1} (a c x^{b + 1} + a^{3} b x^{3 b + 5})$ dx is independent of ‘b’ equals

Join BYJU'S Learning Program

In ΔABC,if ∠C=90∘,∠A=30∘,c=20, then the values of a and b are

The correct option is B 10,10√3 ∠c=90∘,]∠A=30∘,c=20,then a=c sin Asin C=10 and b=c sin Bsin C=10√3. Trick : Since the angles are 30∘,60∘,90∘ therefore sides must be 1:√3:2. Hence, a=10,b=10√3.

In $Δ A B C, i f ∠ C = 90^{\circ}, ∠ A = 30^{\circ}, c = 20$ , then the values of a and b are