In ∆ABC,
∠A = 60°∠B = 60°BC = 12 units∠BDC = 90°To Find :Area of ∆ABC = ?Solution :As, we have :
∠A = 60°∠B = 60°So, By angle sum property of triangle :
∠A + ∠B + ∠C = 180°
[tex] \tt : \implies 60\degree + 60\degree + \angle C = 180\degree[/tex]
[tex] \tt : \implies 120\degree + \angle C = 180\degree[/tex]
[tex] \tt : \implies \angle C = 180\degree - 120\degree[/tex]
[tex] \tt : \implies \angle C = 60\degree[/tex]
Now, we have :
∠A = 60°∠B = 60°∠C = 60°As, all angles are of same length, therefore it is a equilateral triangle.
We know that sides of equilateral triangle are equal.
[tex] \tt : \implies AB = BC = AC[/tex]
Now, we have BC = 12 units.
Hence, all sides are of 12 units.
Now, we know that area of equilateral triangle is :
[tex] \large \underline{\boxed{\bf{Area_{(equilateral \: triangle)} = \dfrac{\sqrt{3}}{4} side^{2}}}}[/tex]
[tex] \tt : \implies Area = \dfrac{\sqrt{3}}{4} \times (12 \: units)^{2}[/tex]
[tex] \tt : \implies Area = \dfrac{\sqrt{3}}{\cancel{4}} \times \cancel{144} \: units^{2}[/tex]
[tex] \tt : \implies Area = \sqrt{3} \times 36 \: units^{2}[/tex]
[tex] \tt : \implies Area = 36\sqrt{3} units^{2}[/tex]
So, Area of given triangle is 36√3 units².
Simplify expression below (7 + i)-(6-4)
Answer:
5 + i
Step-by-step explanation:
Answer:
5+i is the answer
Step-by-step explanation:
cause 6-4=2-7=5+i
What is the value of x?
Enter
X :
(Look at the photo)
Answer:
x = 20
Step-by-step explanation:
Each line creates a 180° angle on each side of it. Since these lines intersect, they have congruent angles. This means that these two quantities can be set equal to each other.
3x + 50 = 6x - 10
Solve by combining like-terms and isolating x. Move the 3x to the right by subtracting it from both sides.
50 = 3x - 10
Move the 10 to the left by adding it to both sides.
60 = 3x
Divide the 3 from both sides to isolate the x.
x = 20
Furthermore, this can be checked by plugging in 20 to x and seeing if the expression is true.
3(20) + 50 = 6(20) - 10
110 = 110
help please!!
Find the missing length indicated. Round to the nearest hundredth (two decimal places), if needed.
26 I think (i'm not sure please correct me.)