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Otrada [13]
3 years ago
11

Tell whether the triangle with the given side lengths is a right triangle. Y/N question

Mathematics
2 answers:
Gennadij [26K]3 years ago
6 0
Yes because,
16^2 + 63^2 = 65^2
By this we can obviously say that,
The sum of the squares of the two sides = the square of hypotenuse
Which makes it a right angle triangle.
Oksana_A [137]3 years ago
3 0

Answer:

yes , it is a right triangle.

Step-by-step explanation:

according to the pythagoras theorem to be the right angled triangle the sum of square of two smaller sides of triangle must be equal to the square of it's hypotenuse.

Here , 65 is largest side so it is hypotenuse and other two sides are the legs of the triangle.

pythagoras theorem:

a^2 + b^2 = c^2

16^2 + 63^2 = 65^2

256 + 3969 = 4225

4225 = 4225

since both sides are equal it can be concluded that the given side lengths d forms a right triangle.

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|2x-8| + 3 = 5 two solutions
Delicious77 [7]

Answer:

The two solutions are 5 and 3

Step-by-step explanation:

The equation of the absolute has two solutions because IxI = a means x = a and x = -a

Let us solve the question using this fact

∵ I2x - 8I + 3 = 5

→ Subtract 3 from both sides

∴ I2x - 8I + 3 - 5 = 5 - 3

∴ I2x - 8I = 2

By using the fact above

→ 1st solution

∵ 2x - 8 = 2

→ Add 8 to both sides

∴ 2x - 8 + 8 = 2 + 8

∴ 2x = 10

→ Divide both sides by 2 to find x

∴ x = 5

→ 2nd solution

∵ 2x - 8 = -2

→ Add 8 to both sides

∴ 2x - 8 + 8 = -2 + 8

∴ 2x = 6

→ Divide both sides by 2 to find x

∴ x = 3

∴ The two solutions are 5 and 3

6 0
3 years ago
Ray CE is the angle bisector of ACD. Which statement about the figure must be true?
Viefleur [7K]

we know that

"Bisect" means to divide into two equal parts

so

If the ray CE is the angle bisector of ADC

then

Angle(ACD)=Angle(ACE)+Angle(ECD)

Angle(ACE)=Angle(ECD)

so

Angle(ACD)=2Angle(ACE)

Angle(ACE)=\frac{1}{2} Angle(ACD)

therefore

<u>the answer is the option</u>

Angle(ACE)=\frac{1}{2} Angle(ACD)

or

Angle(ACE)=Angle(ECD)

7 0
3 years ago
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Mademuasel [1]

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A=\frac{b\cdot h}{2}

The base of the triangle is b= 7 miles and the height is h= 8 miles, using these lengths calculate the area as follows:

\begin{gathered} A=\frac{7\cdot8}{2} \\ A=\frac{56}{2} \\ A=28mi^2 \end{gathered}

The area of the triangle is 28 square miles.

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Is there a question that goes with this command?

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Covert 15/7/8 to a decimal
serg [7]

Answer:

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Step-by-step explanation:

In the attached file

4 0
3 years ago
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