A ship leaves port and travelled 12 km east and then 9km north How far is it from the - Maths - Congruence of Triangles

Question

A ship leaves port and travelled 12 km east and then 9km north
How far is it from the port?

Priyanka Kedia · Accepted Answer

$D i s \tan c e b e t w e e n p o r t a n d s h i p = A C U \sin g P y t h a g o r a s t h e o r e m i n Δ A B C, {(H y p o t e n u s e)}^{2} = {(B a s e)}^{2} + {(P e r p e n d i c u l a r)}^{2} \Rightarrow {A C}^{2} = {A B}^{2} + {B C}^{2} \Rightarrow {A C}^{2} = {(12)}^{2} + {(9)}^{2} \Rightarrow {A C}^{2} = 144 + 81 \Rightarrow {A C}^{2} = 225 \Rightarrow A C = 15 k m$

A ship leaves port and travelled 12 km east and then 9km north. How far is it from the port?