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ss7ja [257]
3 years ago
13

The height of a triangle is 8 m more than the length of the base. The area of the triangle is 21 m^2. Find the height of the tri

angle​
Mathematics
1 answer:
Alexus [3.1K]3 years ago
3 0

Answer:

<h2>height = 12 cm</h2>

Step-by-step explanation:

Area of a triangle is given by

A =  \frac{1}{2} bh

where

b is the base

h is the height

From the question

Area = 21 m²

The statement

The height of a triangle is 8 m more than the length of the base is written as

h = 8 + b

Make b the subject

That's

b = h - 8

Substitute the expression into the above formula and solve for the height

That's

21 =  \frac{1}{2} (h - 8)h

Multiply through by 2

h² - 8h = 48

h² - 8h - 48 = 0

(h + 4)(h - 12) = 0

h + 4 = 0 h - 12 = 0

h = - 4 h = 12

Since the height cannot be a negative number we have the final answer as

<h3>height = 12 cm</h3>

Hope this helps you

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A farmer has a 100 ft by 200 ft rectangular field that he wants to increase by 15.5% by cultivating a strip of uniform width aro
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Answer:

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Step-by-step explanation:

Given:

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The increase in area of the field = 3,100 ft

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3 0
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Are irrational numbers intergers
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Answer:

No they are not intergers

Step-by-step explanation:

Hope this helps

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Multiply:

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This is the y-value of our solution. So our entire solution is (3, 6).
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