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Write down a value of x that makes ABC acute Write down a value of x that makes ABC obtuseWrite down a value of x that makes ABC right For triangle 1,2,3

Write down a value of x that makes ABC acute Write down a value of x that makes ABC-example-1

1 Answer

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SOLUTION:

Case: Triangle types

Method:

Triangle 1:

a) Write down a value of x that makes a triangle ABC acute

Answer = 9

b) Write down a value of x that makes a triangle ABC obtuse

Answer = 12

c) Write down a value of x that makes a triangle ABC right angle


\begin{gathered} x^2=6^2+8^2 \\ x^2=36+64 \\ x^2=100 \\ x=√(100) \\ x=10 \end{gathered}

Answer = 10

Triangle 2

a) Write down a value of x that makes a triangle ABC acute

Answer = 14

b) Write down a value of x that makes a triangle ABC obtuse

Answer = 10

c) Write down a value of x that makes a triangle ABC right angle


\begin{gathered} 15^2=9^2+x^2 \\ 225=81+x^2 \\ x^2=225-81 \\ x^2=144 \\ x=√(144) \\ x=12 \end{gathered}

Answer: 12

Triangle 3

a) Write down a value of x that makes a triangle ABC acute

Answer = 9

b) Write down a value of x that makes a triangle ABC obtuse

Answer = 5

c) Write down a value of x that makes a triangle ABC right angle


\begin{gathered} 25^2=24^2+x^2 \\ 625=576+x^2 \\ x^2=625-576 \\ x^2=49 \\ x=√(49) \\ x=7 \end{gathered}

Answer = 7

Write down a value of x that makes ABC acute Write down a value of x that makes ABC-example-1
Write down a value of x that makes ABC acute Write down a value of x that makes ABC-example-2
Write down a value of x that makes ABC acute Write down a value of x that makes ABC-example-3
Write down a value of x that makes ABC acute Write down a value of x that makes ABC-example-4
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