Question

The length of sides of two triangles
are given below I Check if the
triangles are
right
angle triangles.
1)5 cm,
8 cm
11 cm
2)6 cm 8cm 10cm
​

Answer 1

Answer:

Here is your answer

Step-by-step explanation:

1) 5+8= 13> 11 cm

8+11= 19> 5 cm

11+5= 16> 8

Since we know that the sun of 2 sides > than the 3rd side, therefore, the ∆ is possible.

2) 6+8=14 >10

8+10=18 > 6

6+10=16> 8

Since we know that the sun of 2 sides > than the 3rd side, therefore, the ∆ is possible.

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plzz mark it as the brainliest answer!!!

Answer 2

1) 6 cm, 8 cm, 10 cm

Let in ∆ABC, the longest side is AB = 10 cm

Therefore,

=> (BC)² + (AC)² = 6² + 8²

=> (BC)² + (AC)² = 6 × 6 + 8 × 8

=> (BC)² + (AC)² = 36 + 64

=> (BC)² + (AC)² = 100 = 10²

Or,

• (BC)² + (AC)² = 10²

Also,

• (AB)² = (10)²

In other words,

• (AB)² = (BC)² + (AC)²

Therefore,

• The triangle whose sides are 10 cm, 8 cm and 6 cm is a right triangle.

(2) 5 cm, 8 cm, 11 cm

Here, the longer side is 11 cm = AB

We know,

• (AB)² = 11² = 121

Therefore,

(BC)² + (AC)²

=> 5² + 8²

=> 5 × 5 + 8 × 2

=> 25 + 64

Or, (BC)² + (AC)² = 89

Since,

• 89 ≠ 121

Therefore,

• The triangle with the given sides is not a right triangle.