Check whether 2.5cm,6.5cm,6cm can be the sides of a right triangle? Give reasons for your answer
Answers
Answer:
for checking a triangle can be made by these sides you have to check if the longest side is smaller than or equal to the sum of other two sides i.e.
2.5cm+6cm=8.5cm
8.5cm>6.5cm
which means the triangle can be made by these sides
I hope it will help you
pls mark this answer as brainliest
Step-by-step explanation:
As we know,
In a Right-angled Triangle: By Pythagoras Theorem,
hypotenuse² = base² + perpendicular²
As we know the hypotenuse is the longest side of the triangle, So
Hypotenuse = 6.5 cm
Verifying the Pythagoras theorem,
6.5²= 6²+ 2.5²
42.25=36+ 6.25
42.25=42.25
Hence it is a right-angled triangle
The Right-angle lies on the opposite of the longest side (hypotenuse) So the right angle is at the place where 2.5 cm side and 6 cm side meet.
yes a triangle can be made by these sides