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The front of the stage, side C, is 50 feet long. A 40-foot rope runs along the side of square B. A 30-foot rope runs along the side of square A. Is the roped off area, triangle ABC, a right triangle? Explain.

The front of the stage side C is 50 feet long A 40foot rope runs along the side of square B A 30foot rope runs along the side of square A Is the roped off area class=

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msm555

Answer:

C=hypotenuse [h]=50 feet

A=[base]=40foot.

B=perpendicular [p]=?

Area =?

we have

By using Pythagoras law

p²+b²=h²

B²=40²=50²

B²=50²-40²

B=√900

B=30feet

we have

Area of triangle =½×A×B=½×30×40=600feet²

the roped off area is 600 square feet.

it is a right angled triangle.

Find Base

  • √50²-40²
  • √30²
  • 30ft

Area

  • 1/2BH
  • 1/2(30)(40)
  • 30(20)
  • 600ft²

Off course right angle

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