Answer:
The missing side length is 24.98 units
Explanation:
Given
The attached right-triangle
Required
The length of the missing length
Let the missing length be x.
Apply Pythagoras theorem
![Hyp^2 = Opp^2 + Adj^2](https://img.qammunity.org/2022/formulas/mathematics/college/gle616rqugxuu5mifsxy65oacqp8wfiizw.png)
This gives
![43^2 = 35^2 + x^2](https://img.qammunity.org/2022/formulas/mathematics/college/u82n2x68u4qulbewro3r1rylk6s7c0lchi.png)
![1849 = 1225 + x^2](https://img.qammunity.org/2022/formulas/mathematics/college/r8m60sr90v2zgets1fgzlpmo0583zqbv0k.png)
Collect like terms
![x^2 = 1849 - 1225](https://img.qammunity.org/2022/formulas/mathematics/college/7apbcz1og9elsvk0lipiuz5w72jh331ruz.png)
![x^2 = 624](https://img.qammunity.org/2022/formulas/mathematics/college/a1ehll62rdtbpogfwean8yafdfzn34wey1.png)
Take square roots of both sides
![x = \sqrt{624](https://img.qammunity.org/2022/formulas/mathematics/college/objm0fo4qhxcalzv4mahanayw7u42fuk6c.png)
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