Question

What is the value of a? 5 units 5 and one-third units 6 and two-thirds units 7 units

Answer 1

Answer:

5 1/3

Step-by-step explanation:

edge

Answer 2

The missing figure is attached

The value of a is $5\frac{1}{3}$ ⇒ 2nd answer

Step-by-step explanation:

Let as revise the Pythagoras Theorem

In the right triangle ABC, where ∠B is a right angle (AC is the hypotenuse, Ab and BC are the legs of the right angle)

• (AC)² = (AB)² + (BC)²
• (AB)² = (AC)² - (BC)²
• (BC)² = (AC)² - (AB)²

If BD is drawn perpendicular to AC, we can use these rules

• (AB)² = AD × AC
• (BC)² = CD × AC
• (BD)² = AD × CD
• AB × BC = BD × AC

In Δ WYZ

∵ m∠WYZ = 90°

- By using Pythagoras Theorem

∴ (WZ)² = (WY)² + (YZ)²

∵ WY = 4 units

∵ YZ = 3 units

∵ WZ = c units

∴ c² = (4)² + (3)²

∴ c² = 16 + 9 = 25

- Take √ for both sides

∴ c = 5

In Δ XWZ

∵ m∠XWZ = 90°

∵ WY ⊥ XZ

- We can use the rule (WZ)² = ZY × ZX

∵ (WZ)² = ZY × ZX

∵ WZ = 5 units

∵ ZY = 3 units

∵ ZX = (3 + a) units

∴ (5)² = 3(3 + a)

∴ 25 = 9 + 3a

- Subtract 9 from both sides

∴ 16 = 3a

- Divide both sides by 3

∴ a = $5\frac{1}{3}$

The value of a is $5\frac{1}{3}$

Learn more:

You can learn more about the rules of the right triangle in brainly.com/question/14390928

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