Question

The legs of a right triangle are 10 cm and 24 cm. What is the length of the hypotenuse?

Answer 1

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,

$hypotenuse^2=leg_1^2+leg_2^2$

Substitute $leg_1=10$ and $leg_2=24$ in the above formula.

$hypotenuse^2=(10)^2+(24)^2$

$hypotenuse^2=100+576$

$hypotenuse^2=676$

Taking square root on both sides.

$\sqrt{hypotenuse^2}=\sqrt{676}$

$hypotenuse=26$

Therefore the length of the hypotenuse is 26 cm.

Answer 2

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.