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mina [271]
3 years ago
7

Determine whether each of the following triangles is a right-angled triangle

Mathematics
1 answer:
Fantom [35]3 years ago
4 0

Answer:

Yes

Step-by-step explanation:

To determine if this is a right triangle, use the pythagorean theorem and see if a^2 + b^2 is equal to c^2.

a^2 + b^2 = c^2

12^2 + 16^2 = 20^2

Evaluate the exponents.

144 + 256 = 400

Add them together.

400 = 400

Since a^2 and b^2 add up to equal c^2, this is a right triangle.

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Which equation has the same solution as this equation?
lesya [120]

Answer:

3rd Option is correct.

Step-by-step explanation:

Given Equation:

x² - 16x + 12 = 0

First We need to find solution of the given equation.

x² - 16x + 12 = 0

here, a = 1   , b = -16  &  c = 12

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

x=\frac{-(-16)\pm\sqrt{(-16)^2-4(12)}}{2}

x=\frac{16\pm\sqrt{256-48}}{2}

x=\frac{16\pm\sqrt{208}}{2}

x=\frac{16\pm4\sqrt{13}}{2}

x=8+2\sqrt{13}\:\:andx=8-2\sqrt{13}

Now,

Option 1).

( x - 8 )² = 144

x - 8 = ±√144

x - 8 = ±12

x = 8 + 12 = 20   and x = 8 - 12 = -4

Thus, This is not correct Option.

Option 2).

( x - 4 )² = 4

x - 4 = ±√4

x - 4 = ±2

x = 4 + 2 = 6   and x = 4 - 2 = 2

Thus, This is not correct Option.

Option 3).

( x - 8 )² = 52

x - 8 = ±√52

x - 8 = ±2√13

x  = 8 + 2√13   and x = 8 - 2√13

Thus, This is correct Option.

Option 4).

( x - 4 )² = 16

x - 4 = ±√116

x - 4 = ±4

x = 4 + 4 = 8  and x = 4 - 4 = 0

Thus, This is not correct Option.

Therefore, 3rd Option is correct.

8 0
3 years ago
What's the slope and intercept of y=4x-7
zalisa [80]

Answer:

the slope is 4 and the y-intercept is -7

Step-by-step explanation:

3 0
3 years ago
Please answer please
IRISSAK [1]

Step-by-step explanation:

cos A = 16/20 = 4/5

tan A = 12/16 = 3/4

sin A = 12/20 = 3/5

4 0
3 years ago
Solve the system of linea<br> 1. y=x<br> y=2x - 11
aksik [14]

\left \{ {{y=x} \atop {y=2x-11}} \right. \\x=2x-11\\x=11\\\\y=x\\y=11\\\\\\Answer: (11;11)

P.S. Hello from Russia :^)

7 0
3 years ago
Hey can i get help?? please
KiRa [710]

Answer:

It would be the second distribution in the fist picture, and the first distribution in the second picture

Step-by-step explanation:

The median is the middle number of a set of numbers, for example, the median in 3, 5, 9, 10, 11, 15, 20 would be 10, since it is the middle number. For the two distributions, that is  the best measure of center

8 0
3 years ago
Read 2 more answers
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