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3 years ago

11

The base of an isosceles tiangle has a length of 25. what can you say about the lengths of the legs?

1 answer:

lidiya [134]3 years ago

7 0

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side (or else, it can't be a closed polygon). Since we know that the two sides in question are both of the same length in this case (since the triangle isosceles), their individual lengths must be greater than 25/2 = 12.5.

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What is the length of line segment KJ?

Karolina [17]

Please consider the attached file.

We can see that triangle JKM is a right triangle, with right angle at M. Segment KM is 6 units and segment MJ is 3 units. We can also see that KJ is hypotenuse of right triangle.

We will use Pythagoras theorem to solve for KJ as:

$KJ^2=KM^2+MJ^2$

$KJ^2=6^2+3^2$

$KJ^2=36+9$

$KJ^2=45$

Now we will take positive square root on both sides:

$\sqrt{KJ^2}=\sqrt{45}$

$KJ=\sqrt{9\cdot 5}$

$KJ=3\sqrt{5}$

Therefore, the length of line segment KJ is $3\sqrt{5}$ and option D is the correct choice.

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3 years ago

Solve for x,<br> -3x = -15

Goshia [24]

Answer:

x=5

Step-by-step explanation:

so to isolate the x you dived the -3 to both sides

so it will now be

x=5 because a negative times or divided by a negative equals a positive so to prove that x=5

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2 years ago

Read 2 more answers

Find the value of x,y and z. The Diagram is not a scale!

joja [24]

Answer:

x= 76, y = 63 z, 104

Step-by-step explanation:

We can find x since the three angles of a triangle add to 180 degrees

46+58+x = 180

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Subtract 104 from each side

x = 180-104

x = 76

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x+z =180

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Subtract 76 from each side

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Z, 13 and y make a triangle

z+ 13 +y = 180

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117+y=180

Subtract 117 from each side

y = 180-117

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Varvara68 [4.7K]

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3 years ago

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Neko [114]

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