Answer:
The triangle is not a right-angled triangle
Step-by-step explanation:
In this question, we are trying to envisage if the triangle we have is a right angled triangle.
To be able to decide this, we use one very important property of right angled triangles. The very important property is that the square of the hypotenuse is equal to the sum of the squares of the two other sides of the triangle.
The hypotenuse is the longest side in the triangle and it usually faces the angle 90.
Without any doubt here, our hypotenuse measures 10.24 m
Now, we need to square the other two sides
The square of our hypotenuse is 10.24 * 10.24 = 104.8576
Let’s check the squares of the lethe two sides; 9.75 and 3.45
9.75 * 9.75 = 95.0625
3.45 * 3.45 = 11.9025
Adding both together, we have 106.965
From this answer, we can see that it it not equal to the square of the supposed-hypotenuse ( i.e 10.24^2)
Thus, we can conclude that the triangle is not a right-angled triangle
