The isosceles triangle shown is rotated about line k. The perimeter of the triangle is 58 units.

Which best describes the resulting three-dimensional shape?

a cone with a base radius of 17 units
a cone with a base radius of 34 units
a cylinder with a base radius of 17 units
a cylinder with a base radius of 34 units

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Аноним Аноним · Answer 1 · 2018-10-11T12:21:14+02:00

Answer:

Perimeter of Triangle=58 units

One non equal side = 24 units

Let two equal side be x units.

⇒x+x+24=58

⇒2 x= 58- 24

⇒ 2 x = 34

⇒ x =34/2

⇒ x=17

Now the triangle is rotated about line k

It will result in a cone, which is a three dimensional shape.

The new shape will be of cone having radius 17 units ,slant height 24 and height k units.

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MrRoyal MrRoyal · Answer 2 · 2022-01-31T18:51:44+01:00

The resulting three-dimensional shape is (a) a cone with a base radius of 17 units

The given parameters are:

Hypotenuse = 24 units

Perimeter = 58 units

Given that the shape is an isosceles right triangle, the perimeter is calculated as:

[tex]x + x + 24 = 58[/tex]

[tex]2x + 24 = 58[/tex]

Subtract 24 from both sides

[tex]2x = 34[/tex]

Divide both sides by 2

[tex]x = 17[/tex]

When the triangle is rotated, the resulting three-dimensional shape is a cone

And the radius of the cone will be side length x

Hence, the resulting three-dimensional shape is (a) a cone with a base radius of 17 units