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mr Goodwill [35]
3 years ago
15

What is the length of RU?

Mathematics
1 answer:
marta [7]3 years ago
7 0

Answer:

Length of RU is 20 units.

Step-by-step explanation:

In ΔRSt and ΔRUT,

ST ≅ TU [Given]

RT ≅ RT [Reflexive property]

∠RTS ≅ ∠RTU [Both the angles are the right angles]

ΔRTS ≅ ΔRTU [By SAS property of congruence]

Therefore, RS ≅ RU [By CPCTC (corresponding parts of the congruent triangles are congruent]

8x = 6x + 5

8x - 6x = 5

2x = 5

x = 2.5

Length of RU = (6x + 5)

                      = 6(2.5) + 5

                      = 15 + 5

                      = 20

Length of RU is 20 units.

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