Mhanifa can you please help? Look at the picture attached. I will mark brainliest!
1 answer:
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u = 10.4 and v = 12
Solution:
In the given 2 sides of a triangle are 60°, 60°.
Sum of all the angles of a triangle = 180°
60° + 60° + third angle = 180°
⇒ third angle = 180° – 60° – 60°
⇒ third angle = 60°
All angles are equal, therefore the given triangle is an equilateral triangle.
⇒ All sides are equal in length.
⇒ v = 12
The line drawn from the top angle divides the triangle into two equal parts
and the line is perpendicular.
12 ÷ 2 = 6
Using Pythagoras theorem,
⇒
⇒
⇒
⇒
⇒ u = 10.4
Hence, u = 10.4 and v = 12.
Answer:
<em>The perimeter of the pizza slice is 20.1 cm</em>
Step-by-step explanation:
<u>Perimeter of a Sector of a Circle</u>
The arc length of a sector of a circle of radius r and angle θ is given by:
L = rθ
The angle must be expressed in radians.
The total perimeter of the circular sector, including the two radii, is:
P = rθ + 2r
The pizza slice has a radius of r=7 cm and a central angle of θ=50°
Converting to radians:
The perimeter is:
Calculating:
P = 20.1 cm
The perimeter of the pizza slice is 20.1 cm