Answer:
No
Step-by-step explanation:
<u>Given </u><u>:</u><u>-</u><u> </u>
- A triangle with some side measure .
- The sides are 4 ,6,7.
And we need to tell whether it is a right angled triangle or not . It will be a right angled triangle if it follows the Pythagoras Theorem.
<u>Pythagoras</u><u> Theorem</u><u> </u><u>:</u><u>-</u><u> </u>
- In right angle triangle the sum of squares of the two smallest sides is equal to the square of the largest side .
Here the two smallest sides are 4 & 6 .
<u>Sum </u><u>of </u><u>Squares </u><u>of </u><u>4</u><u> </u><u>and </u><u>6</u><u> </u><u>:</u><u>-</u><u> </u>
4² + 6²
24 + 36
60
<u>Square</u><u> </u><u>of </u><u>7</u><u> </u><u>:</u><u>-</u><u> </u>
7²
49
<u>And </u><u>:</u><u>-</u><u> </u>
- They aren't equal. So the triangle is not a right angled triangle .
<u>Hence </u><u>the triangle is not a right angle triangle</u><u>.</u>