The hypotenuse is always the longest side in right triangles. 97cm is the hypotenuse. the third base is 65 cm.
If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
|AC|^2 = |AB|^2 + |BC|^2
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
Two sides of a right triangle have lengths of 72 cm and 97 cm. The third side is not the hypotenuse.
If the third side is not hypotenuse, it is either a or, b.
|a|^2 = |b|^2 + |c|^2
[tex]72^2+b^2=97^2\\5184 + b^2=9409\\b^2=4225\\b=65[/tex]
Therefore, the third base is 65 cm.
Also, 97cm is the hypotenuse, as the hypotenuse is always the longest side in right triangles.
Learn more about Pythagoras' theorem here:
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