jokerr2228 jokerr2228
  • 24-02-2021
  • Mathematics
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An isosceles right angled triangle is shown. The area of the triangle is 200cm squared.Work out the value of the x

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lublana
lublana lublana
  • 25-02-2021

Answer:

x=20 cm

Step-by-step explanation:

Let x be the  length of  equal sides.

Area of triangle=[tex]200cm^2[/tex]

We have to find the values of x.

We know that

Area of right triangle=[tex]\frac{1}{2}bh[/tex]

Where b=Base of triangle

h=Height of triangle

Using the formula

Area of right triangle=[tex]\frac{1}{2}x^2[/tex]

[tex]200=\frac{x^2}{2}[/tex]

[tex]x^2=200\times 2[/tex]

[tex]x^2=400[/tex]

[tex]x=\sqrt{400}[/tex]

[tex]x=20cm[/tex]

Hence, the value of x=20 cm

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