Calculate the Legs of a Right Isosceles Triangle: Finding Equal Side Lengths

Name: Video Solution: Calculate the Legs of a Right Isosceles Triangle: Finding Equal Side Lengths
Description: Step-by-step video solution

The triangle in the drawing is rectangular and isosceles.

Calculate the length of the legs of the triangle.

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Step-by-step video solution

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00:00 Find the legs of the triangle (AB,CB)

00:03 We'll use the Pythagorean theorem in triangle ABC

00:15 Sides are equal according to the given data

00:20 We'll substitute appropriate values according to the given data and solve for AC

00:34 We'll isolate AC

00:47 And this is the solution to the question

Step-by-step written solution

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Understand the problem

The triangle in the drawing is rectangular and isosceles.

Calculate the length of the legs of the triangle.

Step-by-step solution

We use the Pythagorean theorem as shown below:

$AC^2+BC^2=AB^2$

Since the triangles are isosceles, the theorem can be written as follows:

$AC^2+AC^2=AB^2$

We then insert the known data:

$2AC^2=(8\sqrt{2})^2=64\times2$

Finally we reduce the 2 and extract the root:

$AC=\sqrt{64}=8$

$BC=AC=8$

Final Answer

8 cm

Practice Quiz

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Consider a right-angled triangle, AB = 8 cm and AC = 6 cm.
Calculate the length of side BC.

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Calculate the Legs of a Right Isosceles Triangle: Finding Equal Side Lengths

❤️ Continue Your Math Journey!

Step-by-step video solution

Step-by-step written solution

Understand the problem

Step-by-step solution

Final Answer

Practice Quiz

🌟 Unlock Your Math Potential

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