Find the value of x and y to make these triangles congruent
patulong po dito please
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Find the value of x and y to make these triangles congruent
patulong po dito please
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Question:
Find the value of x and y to make these triangles congruent
Answer:
For the 2 triangles to be congruent, ∠A & ∠C have to be congruent or equal and the sides AB and CB have to be congruent as well.
So this means we can equate them as,
∠A = ∠C
where,
∠A = 4y - 1
∠C = y + 41
solve for y,
∠A = ∠C
4y - 1 = y + 41
4y - y = 41 + 1
3y = 42
y = 42/3
y = 14
Same thing with sides AB and CB we can equate them as,
AB = CB
where,
AB = 3x - 11
CB = x + 5
solve for x,
AB = CB
3x - 11 = x + 5
3x - x = 5 + 11
2x = 16
x = 16/2
x = 8
If needed, we can compute for ∠A & ∠C using any of the 2 equations since they are just equal,
∠A = 4y - 1
∠A = 4(14) - 1
∠A = 55°
∠C = ∠A = 55°
If needed, we can compute for sides AB & CB using any of the 2 equations since they are just equal,
CB = x + 5
CB = 8 + 5
CB = 13 meters
AB = CB = 13 meters
* as always, double check my answers for errors or carelessness.
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thanks for the answer