Mathematics: Triangle mnp is similar to triangle hjk, and both triangles are isosceles. if angle p 90 degrees, name all angles that are congruent to angle h

Triangle mnp is similar to triangle hjk, and both

foxesrcool11

10.01.2022

∠ H = ∠ J = ∠N = ∠ M

Step-by-step explanation:

Triangle MNP is similar to triangle HJK and both triangles are isosceles triangles.

If the angle P is greater than 90 degrees, then angles M and N are the equal angles of the isosceles triangle MNP.

Hence, angle M = angle N

Now, as Δ MNP and Δ HJK are similar so, ∠ M = ∠ H, ∠ N = ∠ J, and ∠ P = ∠K

Again ∠ H = ∠ J as Δ HJK is isosceles.

Therefore, ∠ H = ∠ J = ∠N = ∠ M (Answer)

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vhife4901

10.02.2021

The volume of cone is 24 $\pi$ or 75.398 cubic centimeters, if the cone has a radius of 3 centimeters and height of 8 centimeters.

Step-by-step explanation:

The given is,

Formula for volume of cone, $V = \frac{1}{3} Bh$

Where, B = $\pi r^{2}$

Volume, $V= \frac{1}{3} \pi r ^{2} h$

From the given,

Radius, r = 3 centimeters

Height, h = 8 centimeters

volume, $V= \frac{1}{3} \pi (3 ^{2})( 8)$

$= \frac{1}{3} \pi (9)( 8)$

$= \frac{1}{3} \pi (72)$

$= 24\pi$

Volume of cone, V= 24 $\pi$ (volume in terms of $\pi$ )

( or )

Volume, V = (24 × 3.14 ) ( ∵ $\pi$ =3.14 )

V = 75.398 cubic inches

Result:

The volume of cone is 24 $\pi$ or 75.398 cubic centimeters, if the cone has a radius of 3 centimeters and height of 8 centimeters.

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