I'll give brainliest to whoever answers the question correctly!!!!
2 answers:
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Answer:
6 + 3 + 2
+
Step-by-step explanation:
Using the rule of radicals
×
⇔
Given
(3 + )(2 +
)
Each term in the second factor is multiplied by each term in the first factor, that is
3(2 + ) +
(2 +
) ← distribute both parenthesis
= 6 + 3 + 2
+
Answer:
16√3 cm²
Step-by-step explanation:
The perimeter of a triangle is the sum of its all three sides. Since this is an equilateral triangle, all sides are equal.
Let's consider one side of the triangle to be 'x'
Givent that, the perimeter is 24cm,
The equation should be x + x + x = 24
⇒3x = 24
∴ x = 8 cm
To find the area of the triangle, we need to find the height, and for that, we can use trigonometry.
Since it is an equilateral triangle, all angles are exact 60°.
let's draw a line and mark it as 'h'.
we can use sine formula to find out the opposite i.e. h
sin∅ = opposite ÷ hypotaneous
sin 60° = h ÷ 8
h = 8 sin 60°
h= 4√3
Now, let's find the area
Area = 1/2 × base × height
Area = 1/2 × 8 × 4√3
area= 16√3 cm²
