Question

find heptonenuse of a right angle triangle is its other two sides are 6cm and 8cm​

Answer 1

Answer:

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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Answer 2

Answer:

(Hypotenuse)=10cm

Step-by-step explanation:

here base =8 cm and Height =6cm

then according to  Pythagoras theorem

=>(Hypotenuse)²= (base)²+(height)²

=>(Hypotenuse)²=36+64

=>(Hypotenuse)²= 100

=>(Hypotenuse)=10cm