gwendalynn96
Answered

Discover a world of knowledge at Westonci.ca, where experts and enthusiasts come together to answer your questions. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

can you help me please ​

Can You Help Me Please class=

Sagot :

Answer:

x = 7

Step-by-step explanation:

The parameters of the triangle having bisected angle are;

The length of the opposite and adjacent side of one of the halves of the bisected angle = 6 and 14 respectively

The length of the opposite and adjacent side of the other half of the bisected angle = (3·x - 12) and 21 respectively

By the angle bisector theorem, we have;

[tex]\dfrac{14}{6} = \dfrac{21}{3\cdot x - 12}[/tex]

Simplifying, we get;

[tex]\dfrac{14}{6} = \dfrac{2 \times 7}{2 \times 3} = \dfrac{7}{3}[/tex]

[tex]\dfrac{21}{3\cdot x - 12} = \dfrac{3 \times 7}{3 \times (x - 4)} = \dfrac{7}{x - 4}[/tex]

[tex]\dfrac{7}{3} = \dfrac{7}{ x - 4}[/tex]

7 × (x - 4) = 3 × 7

∴ x - 4 = 3

x = 3 + 4 = 7

x = 7.

Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.