Question

PLEASE HELP!! WILL GIVE BRAIN AND FIVE STARS

Answer 1

Given:-

• HM = 2x+5
• FM = X+8
• HF = 3x+2
• perimeter (∆HFM) = 51 units

To find:-

• whether ∆ HFM is congruent to ∆FMK

Solution:-

:
`\implies` perimeter (∆HFM) = HM+FM+HF

:
`\implies` 51 = 2x+5+x+8+3x+2

:
`\implies` 51 = 6x+15

:
`\implies` 36 = 6x

:
`\implies` x = 6 units.

in ∆HFM,

• HM = 2x+5 = 2(6)+5 = 12+5 = 17units
• FM = X+8 = 6+8 = 14 units
• HF = 3x+2 = 3(6)+2 = 20 units

in ∆KFM,

• FM = 14 units
• KF = 4x-3 = 4(6)-3 = 21 units
• MK = 3x-1 = 3(6)-1 = 17 units

Since, all the sides of one triangle does not correspond to the other, these traingles are not congruent.

Hope it helps ⭐⭐⭐