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2 years ago

7

Suppose someone tells you that she has a triangle with sides having lengths 3.5, 4.5 and 5.5 yards. Is this a right triangle?

2 answers:

Katarina [22]2 years ago

5 0

You can solve by using Pythagoras theorem.
Let the longest side be c.
a^2 + b^2 = c^2
If this holds, it is a right angle.

But, 3.5^2 + 4.5^2 is not equal to 5.5^2.

Sloan [31]2 years ago

3 0

I don't know.
Let's find out.
If it IS a right triangle, then . . .

(square of the shortest side)
plus
(square of the medium side)
adds up to
(square of the longest side).

Shortest side = 3.5 . Its square is (3.5)² = 12.25
Medium side = 4.5 . Its square is (4.5)² = 20.25
(square of the shortest side) + (square of the medium side) = 32.5 .

Longest side = 5.5 . Its square is (5.5)² = 30.25 .

30.25 is NOT equal to 32.5 .

So this is NOT a right triangle.

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The hypotenuse of an isosceles right triangle is centimeters longer than either of its legs. Find the exact length of each side.

Varvara68 [4.7K]

Question

The hypotenuse of an isosceles right triangle is 11 centimeters longer than either of its legs. find the exact length of each side.

Answer:

$Hypotenuse:37.56$

$Other\ Legs: 26.56$

Step-by-step explanation:

Let the hypotenuse be y and the other legs be x.

So:

$y = 11 + x$

Required

Determine the exact dimension of the triangle

Using Pythagoras theorem;

$y^2 = x^2 + x^2$

$y^2 = 2x^2$

This gives:

$(11+x)^2 = 2x^2$

Open bracket

$121 + 22x + x^2= 2x^2$

Collect like terms

$2x^2 - x^2 -22x - 121 = 0$

$x^2 -22x - 121 = 0$

Using quadratic formula:

$x = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}$

$x = \frac{-(-22)\±\sqrt{(-22)^2 - 4*1*-121}}{2*1}$

$x = \frac{-(-22)\±\sqrt{968}}{2*1}$

$x = \frac{22\±31.11}{2}$

Split

$x = \frac{22+31.11}{2}\ or\ x = \frac{22-31.11}{2}\\$

$x = \frac{53.11}{2}\ or\ x = \frac{-9.11}{2}$

x can not be negative.

So:

$x = \frac{53.11}{2}$

$x = 26.56$

Recall that:

$y = 11 + x$

$y = 11 + 26.56$

$y = 37.56$

Hence, the dimensions are:

$Hypotenuse:37.56$

$Other\ Legs: 26.56$

6 0

2 years ago

Can someone please answer. There is only one problem. There's a picture. Thank you!

AlekseyPX

1540.5 .
V=PI*R^2*H/3=3.14*9.5^2*5.433=1540;5

4 0

2 years ago

Which expression is equivalent to 2.2 − 0.5(0.6x − 1.8) ?

VARVARA [1.3K]

Answer:

the answer is D 3.1 − 0.3x

hope this helps

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2 years ago

I need points 3+4%34

kkurt [141]

Answer:

I do too :(

Step-by-step explanation:

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2 years ago

Read 2 more answers

HELP PLEASE! DUE TMR! Answer whichever ones you want and i can try to deal with the rest. I just have alot of work and need extr

Yuri [45]

Answers

1) 4

2) 0, 2, -10

3) 0, 5, -2

Step-by-step explanation:

1) x³ - 64 = 0

x³ = 64

x = 4

2) x³(x² + 8x - 20) = 0

x³(x² + 10x - 2x - 20) = 0

x³(x(x + 10) - 2(x + 10)) = 0

x³(x + 10)(x - 2) = 0

x = 0, 2, -10

3) x³ - 3x² - 10x = 0

x(x² - 3x - 10) = 0

x(x² - 5x + 2x - 10) = 0

x(x(x - 5) + 2(x - 5)) = 0

x(x - 5)(x + 2) = 0

x = 0, 5, -2

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3 years ago