Question

A triangle has side links of 10 inches, 24 inches, and 26 inches. Is the triangle a right triangle? Explain.

Answer 1

Answer:

Yes

Step-by-step explanation:

To see if the Triangle is right use Pythagorean theorem which is A^2+B^2=C^2

A and B are to 10 and 24 because the longest side, the hypotenuse is C

10^2+24^2=676

26^2=676

Therefore the triangle is right

Answer 2

Steps

So for this, plug in the potential side lengths into the pythagorean theorem, which is $a^2+b^2=c^2$ , where a and b are the legs and c is the hypotenuse. Remember that the hypotenuse is the longest side of the triangle, so plug in 26 into the c variable and 10 and 24 into the a and b variable:

$10^2+24^2=26^2$

Firstly, solve the exponents:

$100+576=676$

Lastly, add up the left side:

$676=676$

Answer

Since 676 = 676 is a true statement, this means that these side lengths can be a right triangle.