Answer:
The length of the hypotenuse is 26 cm.
Step-by-step explanation:
It is given that the legs of a right triangle are 10 cm and 24 cm.
we need to find the length of the hypotenuse.
According to the Pythagoras theorem,
hypotenuse^2=leg_1^2+leg_2^2hypotenuse
2
=leg
1
2
+leg
2
2
Substitute leg_1=10leg
1
=10 and leg_2=24leg
2
=24 in the above formula.
hypotenuse^2=(10)^2+(24)^2hypotenuse
2
=(10)
2
+(24)
2
hypotenuse^2=100+576hypotenuse
2
=100+576
hypotenuse^2=676hypotenuse
2
=676
Taking square root on both sides.
\sqrt{hypotenuse^2}=\sqrt{676}
hypotenuse
2
=
676
hypotenuse=26hypotenuse=26
Therefore the length of the hypotenuse is 26 cm.
