An isosceles triangle has a vertical angle of 116 degrees and its base is 8cm long.calculate its height

Tan58=1.600 via stastitical table

1.600=4/h
h= 4/1.600
h=2.5cm

(1/2) 116 = 58

(1/2) 8 = 4

tan 58 = 4/h

GIVE ME THE COLLECT RESULT.

AN ISOSCELES TRAINGLE HAS A VERTICAL ANGLE OF116 DEGREE AND ITS BASE IS 8CM LONG CALCULATE ITS HEIGHT

Answer it

(1÷2)116=58

(1÷2)8=4
tan58=4÷h
tan58×h=4
h=4÷tan58
h=4÷1.600
h=2.5

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The question that you solve now how do you get 58

(1÷2)116 =58

(1÷2)8=4
Tan 58 =4÷h
Tan58*h=4
h=4÷1.600
h=2.5

To calculate the height of an isosceles triangle, we can use the Pythagorean theorem.

Step 1: Draw the isosceles triangle.
Given: Vertical angle of 116 degrees and base length of 8cm.

Step 2: Identify the height.
The height of the triangle is the line segment perpendicular to the base, intersecting at the top vertex.

Step 3: Identify the other two angles.
Since the triangle is isosceles, the other two angles are equal and can be calculated by subtracting the vertical angle from 180 degrees and dividing by 2:
Angle A = (180 - 116) / 2 = 32 degrees

Step 4: Set up the right triangle.
We can now draw a right triangle by connecting the height to the base, forming a right angle. We have a right triangle with:
Angle A = 32 degrees
Base length = 8cm

Step 5: Use trigonometry to find the height.
The adjacent side of the right triangle is half the base length, given that the triangle is isosceles. Therefore, adjacent side = 8cm / 2 = 4cm.
Using the trigonometric function "tan", we can calculate the height:
tan(A) = opposite side / adjacent side
tan(32) = height / 4
height = 4 * tan(32)

Step 6: Calculate the height.
Calculating the height using a scientific calculator or an online calculator, we find that the height is approximately 2.45 cm.

Therefore, the height of the isosceles triangle is 2.45 cm.