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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.

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