Answered

Explore Westonci.ca, the leading Q&A site where experts provide accurate and helpful answers to all your questions. Experience the convenience of getting reliable answers to your questions from a vast network of knowledgeable experts. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

In a right triangle when a = 8 and b = 15, what is the measure of c? ill give brainlist asap HELP!!!!!

Sagot :

Answer: 17

Step-by-step explanation:

To answer this question you can use the Pythagorean theorem which is a^2 + b^2=c^2. Plugging in the values you get 8^2 + 15^2=c^2. 8 times 8 is 64 and 15 times 15 is 225. 64+225=289. That leaves 289=c^2. Then find the square root of both numbers which leaves you with 17=c

Sarah06109

Answer:

[tex]\boxed {\boxed {\sf c=17}}[/tex]

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean Theorem.

[tex]a^2+b^2=c^2[/tex]

where a and b are the legs and c is the hypotenuse.

We know that a is 8 and b is 15. We don't know the measure of c.

[tex]a=8 \\b=15[/tex]

Substitute the values into the formula.

[tex](8)^2+(15)^2=c^2[/tex]

Solve the exponents.

  • (8)²= 8*8=64
  • (15)²= 15*15=225

[tex]64+225=c^2[/tex]

Add on the left side.

[tex]289=c^2[/tex]

Take the square root of both sides. This "cancels out" the exponent of 2 and isolates the variable.

[tex]\sqrt {289}=\sqrt{c^2}\\\sqrt{289}=c\\17=c[/tex]

The measure of c is 17.

We hope this was helpful. Please come back whenever you need more information or answers to your queries. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.