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saveliy_v [14]
3 years ago
11

Find the height of a prism if the base is a right triangle with legs 3 inches and 5 inches, and the volume of the prism is 150 c

ubic inches
Mathematics
2 answers:
AnnyKZ [126]3 years ago
8 0

Answer:

the height is 20 inches

Step-by-step explanation:

schepotkina [342]3 years ago
6 0

Answer: 20 inches

Step-by-step explanation:

This is a triangular prism, we first need to find the area of the triangle!

A (triangle) = 1/2 x base of triangle x height of triangle

A = 1/2 x 3 x 5 = 7.5 square inches

Now lets work out the height of the prism, we can use the volume of the prism to do so.

V = Area of triangle x height

150 = 7.5 x height

Height = 150/7.5 = 20 inches

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zheka24 [161]

Answer:

Both are similar by SAS similarity.

This SAS similarity is equivalent to the congruence.

Step-by-step explanation:

Step 1:

To prove that ACB and HIG as similar triangles.

We have to look upon the corresponding sides.

SAS= Side angle sides , there the angle must be in between two sides.

\angle ACB = \angle HIG

Lets work on the corresponding sides.

IG/AC = IH/AC

\frac{9}{15} = \frac{12}{20}

Reducing each to lowest form, we divide numerator and denominator by 3 for the 1st fraction and by 4 for the 2nd fraction.

We have

\frac{3}{5} = \frac{3}{5}

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So its proved that both are similar with SAS similarity theorem.

8 0
3 years ago
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7 0
4 years ago
If n(A) =15 n (B) = 9 n(A∩B) =4 <br> find n(A U B)
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Answer:

20

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castortr0y [4]

Answer:

Step-by-step explanation:

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Answer:

The answer to your question is:

Step-by-step explanation:

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