Mathematics

Faiyaz and Ehan are standing 90 yards apart on a north-south axis, Faiyaz walks 70 yards to west. Ehan walks 50 yards to the east, and then both stop. What is the straight-line distance in yards between them now?

Created: 3 months ago | Updated: 3 months ago

Job Solution Combined Bank (সমন্বিত ব্যাংক) Combined 5 Banks || Officer (Cash) (23-04-2022) || 2022 গণিত

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$L e t, u s d e p i c t t h e i m a g e a c c o r d i n g t o q u e s t i o n : N o w, F a i y a z s \tan d s a t p o i n t A A n d E h a n s \tan d s a t p o i n t C H e r e, d i r e c t d i s \tan c e b e t w e e n t h e m i s A C △ A B C i s a r i g h t a n g l e t r i a n g l e w h e r e A C = H y p o t e n u s e$

$∴ A p p l y i n g P y t h a g o r e a n t h e o r e m, w e g e t {(A C)}^{2} = {(A B)}^{2} + {(B C)}^{2} = {(A C)}^{2} = {(50 + 70)}^{2} + {(90)}^{2} = {(120)}^{2} + {(90)}^{2} = {(A C)}^{2} = 14400 + 8100 = 22500 = {(150)}^{2} ∴ A C = 150 ∴ T h e s t r a i g h t d i s \tan c e b e t w e e n F a i y a z a n d E h a n i s 150 y a r d s .$

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