Calculate BC Length in Right Triangle: Area = 7, Side = 2

ABC is a right triangle with an area of of 7.

Calculate the length of side BC.

777222AAABBBCCC

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Determine the value of BC
00:02 Apply the formula for calculating the area of a triangle
00:06 (height(AB) x base(BC)) divided by 2
00:10 Substitute in the relevant values and calculate to determine BC
00:18 Multiply by 2 to avoid fractions
00:26 Isolate BC
00:34 Reduce the 2
00:37 This is the solution

Step-by-step written solution

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1

Understand the problem

ABC is a right triangle with an area of of 7.

Calculate the length of side BC.

777222AAABBBCCC

2

Step-by-step solution

To solve this problem, let's apply the formula for the area of a triangle:

The area A A of a right triangle can be expressed as

A=12×base×height A = \frac{1}{2} \times \text{base} \times \text{height}

Let's denote side BC (the base) as b b and the given height AB as 2. Substituting in the known values, we have:

7=12×b×2 7 = \frac{1}{2} \times b \times 2

Simplifying the right side gives us:

7=b 7 = b

Therefore, the length of side BC is 7 units.

3

Final Answer

7

Practice Quiz

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Complete the sentence:

To find the area of a right triangle, one must multiply ________________ by each other and divide by 2.

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