For what values of x and y are the triangles to the fight co

For what values of x and y are the triangles to the fight congruent by HL? x = and y =

Solution

Solution:

if given these triangles are congruent then all corresponding side must be equal

As we can see that both triangle are right triangle

therefore hypotenuse of one triangle equal to another

x+1 = 4y ..... (A)

and lenght ( height) of one must equal to another triangle

x = y +2 .... (B)

therefore

Plug the value of x = y+2 in equation A

y+2 +1 = 4y

3y = 3

y = 1

and x = y+2

x = 1+2

x = 3

thus

value of x = 3 and y = 1

Answer :