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wegnerkolmp2741o can you please answer this I will mark brainliest

An isosceles triangle has two 5.5 cm sides and two 32.4° angles. Explain how to determine the perimeter of the triangle. Include a diagram in your solution. You do NOT need to solve.

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wegnerkolmp2741o

Answer:

see below

Step-by-step explanation:

The drawing in blue is what we are told in the problem.

We are given two sides and two angles.  It is an isosceles  triangle with two equal sides and two equal angles.  Draw a perpendicular bisector  ( it makes a 90 degree angle.  Now we have two identical right triangles.  We can use trig functions to find x

cos theta = adj/ hyp

cos 32.4 = x / 5.5

Solving for x

5.5 cos 32.4 =x

Now we have 2x for the third side of the triangle

2( 5.5 cos 32.4) is the third side

P = 5.5 + 5.5 + 2( 5.5 cos 32.4)

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Answer:

See the Below

Step-by-step explanation:

  • Draw a circle with a radius of 5.5 and center at A.

  • Take any point B on the circle and join AB.

  • Draw a line thru B making an angle 32.4 with AB which intersects the circle at D. Extend AD on both sides.

  • Draw two circles with a radius of 5.5cm and centers B and D which intersect the line BD at E and F.

  • Measure length EF, which is the perimeter of triangle ABD.=20.3 cm.

  • Method 2. Assume that base of the triangle =x cm.

  • x/2= 5.5 cos 32.4 and x=11*cos 32.4 =11*0.844=9.287

  • Perimeter = 20.287

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