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aalyn [17]
3 years ago
15

Will mark brainlyiest

Mathematics
2 answers:
Anna35 [415]3 years ago
5 0

Answer:

8.3 units

Step-by-step explanation:

Refer to the notations above, we can use Pythagoras Theorem to find the hypotenuse of the red triangle on the base of the prism.

The hypotenuse of the red triangle

=  \sqrt{ {7}^{2} +  {4}^{2}  }

=  \sqrt{65}

The hypotenuse of the red triangle is the common side of the yellow triangle's base.

d is equal to the hypotenuse of the yellow triangle.

The length of d

=  \sqrt{ { \sqrt{65} }^{2}  +  {2}^{2} }

=  \sqrt{65 + 4}

=  \sqrt{69}

= 8.30662...

= 8.3 units

JulsSmile [24]3 years ago
3 0

Answer:

8.3 units

Step-by-step explanation:

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Square root of 64y16

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We are given that EF is parallel to HJ.  This makes EJ a transversal.  This also means that ∠HJG and ∠GEF are alternate interior angles and are therefore congruent.  We also know that ∠EGF and ∠HGJ are vertical angles and are congruent.  This gives us two angles and a non-included side, which is the AAS congruence theorem.

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