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inn [45]
3 years ago
6

The measures of the legs of a right triangle are 15 m and 20 m. Use the triangle measures and substitute the lengths for a and b

in the formula. a2+b2=c2
______ a2 + b __________ 2 = c 2 2 + 2 = c2
Mathematics
1 answer:
DochEvi [55]3 years ago
5 0

Answer:

25

Step-by-step explanation:

We can use the Pythagorean theorem to determine the length of the hypotenuse

a^2 + b^2 = c^2

15^2 + 20 ^2 = c^2

225 + 400 = c^2

625 = c^2

Take the square root of each side

sqrt(625) = sqrt(c^2)

25 = c

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Perform the indicated operations. Write the answer in standard form, a+bi.<br> (5 + 6i)(5 - 6i)
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\boxed{\underline{\bf \: ANSWER}}

\sf \: ( 5 + 6 i ) ( 5 - 6 i )

Multiply complex numbers 5+6i and 5-6i in the same way as you multiply binomials.

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\dashrightarrow \sf 5\times 5+5\times \left(-6i\right)+6i\times 5+6\left(-6\right)\left(-1\right)

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\dashrightarrow \sf \: 25-30i+30i+36

Now cancel -30i & +30i

\dashrightarrow \sf \: 25 \:  \bcancel{- 30i}  \:  +  \: \bcancel{30i}+36

Now the equation becomes

\dashrightarrow \sf \: 25 \:  + 36 \\ \dashrightarrow  \boxed{\bf \: 61}

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