A triangle has side lengths of 13 mm 18 mm in 14 mm classify it as a cute obtuse or right

Question

asked Apr 25, 2023 134k views

1 Answer

Gergo Erdosi · Answer 1 · 2023-04-29T22:07:06+0000

Given

Sides

13 mm, 18 mm, 14 mm

Using the Pythagorean theorem, compare the square of the longest side to the sum of the other two sides

$\begin{gathered} a^2+b^2\text{ ? }c^2 \\ 13^2+14^2\text{ ? }18^2 \\ 169+196\text{ ? }324 \\ 365>324 \end{gathered}$

Since the sum of the square of two sides is greater than the square of the longest side, the triangle is acute.