3 years ago

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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Find the measure of BE step by step​

Find the measure of BE step by step