Question

The hypotenuse of a right triangle with sides 6cm and 2.5cm is _________.
a) 8cm
b) 6.5cm
c) 7.5cm
d) 8.5cm

Answer 1

Answer:

Option B

Step-by-step explanation:

According to Pythagoras Theorem,

c² = a² + b²

c² = 6² + 2.5²

   = 36 + 6.25

   = 42.25

c = √42.25 = 6.5 cm

Hence, Option B is correct.

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Answer 2

Answer:

The length of the hypotenuse of the triangle is 6.5 cm.

Step-by-step explanation:

The sides of a right-angled triangle have the following relation.

$h^2 = a^2+b^2$

where $h$ is the hypotenuse of the triangle $a$ and $b$ and are the other two sides of the triangle. This relation is known as the Pythagoras theorem.

Given the two sides of the triangle has the measurements 6cm and 2.5 cm. Then using the above relation, we can find the length of the hypotenuse.

$\implies h^2 =6^2+2.5^2 = 36 +6.25 = 42.25\\\\\implies h= \sqrt{42.25}=6.5 \ cm$

Thus the length of the hypotenuse is 6.5 cm.

Option (b) is correct.