Question

find unlnown side lenght in each right angled triangle​

Answer 1

Step-by-step explanation:

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Answer 2

Part a.

Given :

• Shape = Right angle Triangle
• First side of the Triangle = 24cm
• Second side of the Triangle = 26 cm

To Find :

• Third side of the Right Angled Triangle

Solution :

Using Pythagoras Theorem :

• (H)² = (P)² + (B)²
• (26)² = (24)² + (B)²
• 676 = 576 + (B)²
• 676 - 576 = (B)²
• 100 = (B)²
• 10 = B

Therefore :

• Third side of the right angled triangle is 10cm.

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Part b.

Given :

• Shape = Right angle Triangle
• First side of the Triangle = 8cm
• Second side of the Triangle = 8cm

To Find :

• Third side of the Right Angled Triangle

Solution :

Using Pythagoras Theorem :

• (H)² = (P)² + (B)²
• (H)² = (8)² + (8)²
• (H)² = 64 + 64
• (H)² = 128
• H = √128
• H = 11.31

Therefore :

• Third side of the right angled triangle is 11.31cm.

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Part c.

Given :

• Shape = Right angle Triangle
• First side of the Triangle = 40cm
• Second side of the Triangle = 20cm

To Find :

• Third side of the Right Angled Triangle

Solution :

Using Pythagoras Theorem :

• (H)² = (P)² + (B)²
• (40)² = (P)² + (20)²
• 1600 = (P)² + 400
• 1600 - 400 = (P)²
• 1200 = (P)²
• √1200 = P
• 34.64 = P

Therefore :

• Third side of the right angled triangle is 34.64cm.

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