Find Side BC in Right Triangle: Given Sides 2 and 7
Look at the triangle in the diagram. How long is side BC?
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Understand the problem
Look at the triangle in the diagram. How long is side BC?
Step-by-step solution
To solve the exercise, it is necessary to know the Pythagorean Theorem:
A²+B²=C²
We replace the known data:
2²+B²=7²
4+B²=49
We input into the formula:
B²=49-4
B²=45
We find the root
B=√45
This is the solution. However, we can simplify the root a bit more.
First, let's break it down into prime numbers:
B=√(9*5)
We use the property of roots in multiplication:
B=√9*√5
B=3√5
This is the solution!
Final Answer
cm
Practice Quiz
Consider a right-angled triangle, AB = 8 cm and AC = 6 cm.
Calculate the length of side BC.
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