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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
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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