Which set of side lenghts can be used to form a right triangle
1 answer:
<h3>
Solution:</h3>
<u>A few tips...</u>
- Pythagoras theorem can ONLY be used in right triangles.
- Usually, the longest side is the hypotenuse.
Option A:
- 6² = 5² + 4²
- => 36 = 25 + 16
- => 36 ≠ 41
The <u>side lengths</u> given are <u>not possible</u> for a right triangle.
Option B:
- 50² = 40² + 30²
- => 2500 = 1600 + 900
- => 2500 = 2500
The <u>side lengths</u> given are <u>possible</u> for a right triangle.
Option C:
- 30² = 20² + 10²
- => 900 = 400 + 100
- => 900 ≠ 500
The <u>side lengths</u> given are <u>not possible</u> for a right triangle.
Option D:
- 4² = 3² + 2²
- => 16 = 9 + 4
- => 13 ≠ 16
The <u>side lengths</u> given are <u>not possible</u> for a right triangle.
<h3>In conclusion...</h3>
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Answer:
x = 16
Step-by-step explanation:
Using the cosine ratio in the right triangle and the exact value
cos60° = 
cos60° = 
= 
Multiply both sides by x
x × cos60° = 8, that is
x × = 8
Multiply both sides by 2
x = 16
D+3 would be the equation
hope it helps
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