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katen-ka-za [31]
3 years ago
9

Find the measure of BE step by step​

Mathematics
1 answer:
Whitepunk [10]3 years ago
8 0

Answer:

BE = 49 cm

Step-by-step explanation:

Use Pythagorean theorem

(hypotenuse)² = (base)² + (leg)²

ΔDEF,

DE² + EF² = FD²

DE² + 63² = 65²

DE² + 3969 = 4225

              DE² = 4225 - 3969

              DE² = 256

             DE = √256 = √(16*16)

DE = 16 cm

ΔCBD,

BC² + BD² = CD²

56² +BD² = 65²

3136 + BD² = 4225

           BD² = 4225 - 3136

           BD² = 1089

          BD = √1089 = √(33*33)

BD = 33 cm

BE = BD + DE

    = 33 + 16

BE = 49 cm

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