Question

The hypotenuse of a right triangle is with its base and perpendicular of the length 3x, 4x respectively ____

Answer 1

Answer:

${ \bold{ \red{Given}}}$

In right angle triangle base and perpendicular of the length are 3x, 4x

${ \bold{ \green{Find}}}$

Hypotenuse of right angle triangle

${ \bold{ \blue{Solution}}}$

We know that in a right angle triangle,

${ \boxed{ \orange{ \sf{ {hyp}^{2} = {opp}^{2} + {adj}^{2} }}}}$

${ \sf{⟶ {hyp}^{2} } = {(3x)}^{2} + {(4x)}^{2} }$

${ \sf{⟶ {hyp}^{2} = 9 {x}^{2} + 16 {x}^{2} }}$

${ \sf{⟶ {hyp}^{2} = 25 {x}^{2} }}$

${ \sf{⟶hyp = \sqrt{25 {x}^{2} } }}$

$\sf{⟶hyp = 5x}$

${ \boxed{ \therefore{ \sf{hypotenuse \: \: of \: \: right \: \: angle \: \: triangle = 5x}}}}$