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Ivanshal [37]
3 years ago
7

Plsssss help meeeeeeee

Mathematics
1 answer:
Viefleur [7K]3 years ago
8 0

Answer:

The value of x is 16

Step-by-step explanation:

In the right triangle of the length of the hypotenuse c and the lengths of two legs a and b

  • a² + b² = c² ⇒ Pythagoras Theorem

In the given figure

∵ The right triangle has two legs of lengths 8√2, 8√2

∴ a = 8√2 and b = 8√2

∵ It has a hypotenuse of length x

∴ c = x

→ Substitute them in the rule above

∵ (8√2)² + (8√2)² = x²

∵ (8√2)² = (8)²(√2)² = (64)(2) = 128

∴ 128 + 128 = x²

∴ 256 = x²

→ Take a square root for both sides

∵ √256 = √(x)²

→ The root will cancel power 2 of x

∴ 16 = x

∴ The value of x is 16

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To learn more about linear functions, please check: brainly.com/question/26434260

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Find the length of diagonal HJ. Round to the nearest hundredth.
Alisiya [41]

Answer:

The length of the diagonal HJ is 10.82 units

Step-by-step explanation:

* Lets revise the rule of the distance between two points

- d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}, where

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* Lets use this rule to find the length of the diagonal HJ

∵ The coordinates of point H are (-4 , 3)

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∴ x_{1}=-4 and x_{2}=5

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- Lets find the length of the diagonal HJ by using the rule above

∴ HJ = \sqrt{(5-(-4))^{2}+(-3-3)^{2}}=\sqrt{(5+4)^{2}+(-6)^{2}}

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