Question

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

Answer 1

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

$\begin{gathered} x^2=6^2+8^2 \\ x^2=36+64 \\ x^2=100 \\ x=\sqrt{100} \\ x=10 \end{gathered}$

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

$\begin{gathered} 15^2=9^2+x^2 \\ 225=81+x^2 \\ x^2=225-81 \\ x^2=144 \\ x=\sqrt{144} \\ x=12 \end{gathered}$

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

$\begin{gathered} 25^2=24^2+x^2 \\ 625=576+x^2 \\ x^2=625-576 \\ x^2=49 \\ x=\sqrt{49} \\ x=7 \end{gathered}$

Answer = 7