The length of the side k = 6.92 cm
Given a triangle ABC with sides measuring a, b, and c, and the equation a2 + b2 = c2, Make another triangle with sides of lengths a and b and a right angle. The Pythagorean theorem dictates that the hypotenuse of this triangle is the same length as the hypotenuse of the first triangle, c = a2 + b2.
Given, a triangle = ΔIJk
The measurement of the sides I and J are given
I = 1.3 cm
j = 6.8 cm
and angle k is given as 45°
According to the Pythagoras theorem
[tex]i^2 + j^2 = k^2[/tex]
[tex]1.3^2 + 6.8^2[/tex]
= 1.69 + 46.24
= 47.93
On taking square root we get
k = 6.92 cm
To know more about the Pythagoras Theorem you may visith the link which is mentioned below:
https://brainly.com/question/21926466
#SPJ4
