Question

What values for x and y make △MNO≅△PRT?

f) x=15,y=27.6
g) x=11,y=27.6
h) x=11,y=13.8
j) x=15,y=13.8

Answer 1

The answer is g) y= 27.6 and x=11
1.5y=41.4
1.5y/1.5=41.4/1.5
y=27.6

Answer 2

We have to determine the values of 'x' and 'y' such that
`\Delta MNO\cong \Delta PRT`

For triangles to be congruent, all corresponding sides and angles are congruent.

For triangles to be congruent,

MN=PR, NO=RT, MO=RT or
`\angle M=\angle P` ,
`\angle N=\angle R` and
`\angle O=\angle T`.

Consider MN=PR

`3x-9=24`

`3x=24+9`

`3x=33`

x = 11

Also,
`\angle N=\angle R`

`1.5y^(\circ)=41.4^(\circ)`

`y=(41.4)/(1.5)`

y =27.6

The values of 'x' and 'y' are '11' and '27.6' respectively for the given triangles to be congruent.

Therefore, Option g is the correct answer.