50 points Prove and find the measurement?
2 answers:
Answer:
1) they are similar by AAA postulate
2) 9.6 cm
Explanation:
Triangles CAB and CED are similar
because:
1) both have the same angle C
(vertically opposite angles)
2) Angle A = Angle E
(alternate angles)
3) Angle B = Angle D
(alternate angles)
CA/CE = AB/ED
10/8 = 12/DE
DE = 12 × 8/10
DE = 9.6 cm
Answer:
see below
Step-by-step explanation:
Angle ACE = DCE since they are vertical angles
Angle A = Angle E parallel lines cut by a transversal form congruent alternate interior angles
Angle B = Angle D parallel lines cut by a transversal form congruent alternate interior angles
When all three angles are equal, the triangles are similar.
We can use ratios to find DE
DE CE
------- = ----------
AB AC
DE 8
------- = ----------
12 10
Using cross products
10 DE = 8*12
10 DE = 96
Divide by 10
DE = 9.6
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