Question

In a right angle triangle ABC, the lengths of legs are given. Find the length of hypotenuse.
a=6cm and b= 8cm ​

Answer 1

Answer:

7.5 cm

Step-by-step explanation:

length of hypotenuse = √a^2+b^2

=√6×6+4.5×4.5

=√36+20.25

=√56.25

=7.5 cm answer

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Answer 2

ΔABC is a given triangle

∠ABC=90

∘

,AB=6cm,BC=8cm .

Now, AC =

AB

2

+BC

2

=

8

2

+6

2

=10cm .

It is the hypotenuse of the △ABC.

Option A ⇒ The statement is correct because AC>AB and AC>BC from the above findings.

Option B ⇒ The statement is wrong because ∠ABC+∠CAB+∠ACB=180

∘

.

But, ∠ABC=90

∘

given.

Therefore, ∠ACB+∠CAB=180

∘

−90

∘

=90

∘

.

So each of ∠ACB,∠CAB is less than 90

∘

.

Option C ⇒ The statement is true according to the reasoning for the statement in B option.

Option D ⇒ The statement is wrong because given triangle is a right angled triangle and Pythagoras theorem is always applicable to right triangles.

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