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What is the length of the hypotenuse of right AUVW shown?

What is the length of the hypotenuse of right AUVW shown?-example-1
User Gevra
by
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2 Answers

1 vote


\large \:{ \underline{\underline{\pmb{ \sf{SolutioN }}}}} : -

Using Phythagoras Theorem:-

  • (UW)² = (UV)² + (VW)²
  • ➙ (x)² = (9)² + (40)²
  • ➙ (x)² = (9 × 9) + (40 × 40)
  • ➙ (x)² = (81) + (40 × 40)
  • ➙ (x)² = 81 + 1600
  • ➙ (x)² = 1681
  • ➙ x = √1681
  • ➙ x = √41 × 41
  • ➙ x = 41

D) 41

User Technik
by
7.6k points
1 vote

Answer:

D

Explanation:

using Pythagoras' identity in the right triangle.

the square on the hypotenuse is equal to the sum of the squares on the other two sides, that is

UW² = UV² + VW²

x² = 9² + 40² = 81 + 1600 = 1681 ( take square root of both sides )

x =
√(1681) = 41

hypotenuse UW = 41

User Franz Kafka
by
7.2k points

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