Question

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Answer 1

Answer:

r=6cm

Step-by-step explanation:

since xyz is a right angled triangle

xy^2 = yz^2 + zx^2

(17cm)^2 = (2+r)^2 + (9+r)^2

(17cm)^2 = 4 + r^2 + 4r + 81 + r^2 + 18r

(17cm)^2 = 85 + 2r^2 + 22r

289 - 85 =  2r^2 + 22r

204 = 2(r^2 + 11r)

102 = r^2 +11r

0 =  r^2 +11r - 102

0 = r^2 + 17r - 6r - 102

0 = r(r + 17) - 6(r + 17)

0 = (r - 6)(r + 17)

therefore r = 6cm or -17cm

but we will take the positive value ie. r = 6cm

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Answer 2

YOUR ANSWER IS 6cm.

SEE THE ATTACHMENTS FOR EXPLANATION:

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