Question

the sides of a triangle are of length 6cm 4.5 cm and 7.5 cm ..is this triangle a right triangle .if so which is the hypotenuse.

Answer 1

According to Pythagoras,

(Hypo)^2 = (Base)^2+(Height)^2

Let hypo be 7.5cm, base 6cm and height 4.5cm.

(7.5cm)^2 = (6cm)^2+(4.5cm)^2

56.25cm = 56.25cm

:. The triangleis right angled.

:.Hypotenuse is 7.5cm.

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Answer 2

Answer:

Step-by-step explanation:

As 7.5 cm is the highest value in all these three sides.

$c^{2} =a^{2} +b^{2} \\7.5^{2} =6^{2} +4.5^{2} \\56.25=36+20.25\\56.25=56.25\\hence they are equal$