Mathematics: The height of a triangle is 3 cm more than the length of the base. If the area of the triangle is 119cm^2 find the height and the length of the base.

The height of a triangle is 3 cm more than the

Ответ:

lilquongohard

14.08.2021

Mathematics

$base = 14cm \\ height = 17cm$

Step-by-step explanation:

Let the length of the base be x

So length of the base = x

height = x +3

$area \: \: of \: \: a \: \: triangle = \frac{1}{2} \times b\times h \\ 119 = \frac{1}{2} \times x \times (x + 3) \\119 = \frac{ {x}^{2} + 3x }{2} \\ 119 \times 2 = {x}^{2} + 3x \\ 238 = {x}^{2} + 3x \\ 0 = {x}^{2} + 3x - 238 \\ {x}^{2} + 3x - 238 = 0 \\ {x}^{2} + 17x - 14x - 238 = 0 \\ x(x + 17) - 14(x + 17) = 0 \\ (x - 14)(x + 17) = 0 \\ \\ x - 14 = 0 \\ x = 14 \\ \\ or \\ x + 17 = 0 \\ x = - 17 \\ \\ length \: \: cannot \: \: be \: \: given \: \: as \: \: a \: \: negative \: \: number \: \: \\ \\ so \\ \: \: base \: = 14cm \\ height = x + 3 \\ = 14 + 3 \\ = 17cm$

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Ответ:

mharrington2934

20.10.2020

Mathematics

Step

Statement

3x + 7 = 15

x + 7 - 7 = 15

ža

= 15

= 3.15

r = 45

Which statement is true?

A. Jake made a mistake in step 2.

Jake made a mistake in step 4.

Jake made a mistake in step 5.

OD Jake solved the equation correctly.

If the air trolley ended at 60 km and it traveled 20 km- what was its starting position?

Step-by-step explanation:

Step

Statement

3x + 7 = 15

x + 7 - 7 = 15

ža

= 15

= 3.15

r = 45

Which statement is true?

A. Jake made a mistake in step 2.

Jake made a mistake in step 4.

Jake made a mistake in step 5.

OD Jake solved the equation correctly.

If the air trolley ended at 60 km and it traveled 20 km- what was its starting position?

Step-by-step explanation:

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The height of a triangle is 3 cm more than the length of the base. If the area of the triangle is 119cm^2 find the height and the length of the base.

Ответ:

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