Given:
A right angle triangle with angles 45, 45, 90 degrees.
Hypotenuse of the triangle = [tex]7\sqrt{2}[/tex] mm
Base of the triangle = t
To find:
The value of t.
Solution:
In a right angle triangle,
[tex]\cos \theta=\dfrac{Base}{Hypotenuse}[/tex]
Using this trigonometric ratio in the given triangle, we get
[tex]\cos (45^\circ)=\dfrac{t}{7\sqrt{2}}[/tex]
[tex]\dfrac{1}{\sqrt{2}}=\dfrac{t}{7\sqrt{2}}[/tex]
[tex]\dfrac{7\sqrt{2}}{\sqrt{2}}=t[/tex]
[tex]7=t[/tex]
Therefore, the value of t is 7 millimetres.