Find the missing side of each triangle

Question

asked Oct 13, 2022 41.0k views

1 Answer

Patrick Lee · Answer 1 · 2022-10-17T07:34:04+0000

• Hypotenuse (H) = 15 in

• Base (B) = 12 in

• Perpendicular (P) [x]

By using pythagoras property,

$\longmapsto \sf { H^2 =B^2 + P^2 }$

$\longmapsto \sf { (15)^2 =(12)^2 +(x)^2 }$

$\longmapsto \sf { x^2 = (15)^2 - (12)^2 }$

$\longmapsto \sf { x^2 = 225 - 144 }$

$\longmapsto \sf { x^2 = 81 }$

$\longmapsto \sf { x = √(81) }$

$\longmapsto \sf \red { x = 9 \: in}$

So, the value of x (perpendicular) is 9 in.