Question

In the figure is a right triangle ABC with AC=10cm and AB=6cm
The height AB(hint:Theorem of Pythagoras)

Answer 1

Hey dear friend

Given-;
BC(base)=6cm
AC(hypotenuse)=10cm

To Find-:
AB(Perpendicular)=?

Solution-:

As we know that
Pythagoras Theorem=>H²=P²+B²
By using it
=>10²=P²+6²
=>100=P²+36
=>100-36=P²
=>64=P²
=>P=8

So, the height (AB) of a triangle ABC is 8cm.

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Answer 2

The third side of triangle = 8 cm

Given:

In the figure ABC is a right angled triangle  

With AB = 6 cm and AC = 10 cm

To find:

Third side of the triangle

Solution:

Given triangle ABC is right angled triangle

From Pythagoras theorem,

Hyp² = side² + side²  

AC²  =  AB² +  BC²  

⇒ 10² = 6² + BC

⇒ BC² = 100 - 36 = 64

⇒ BC² = 8²

⇒ BC = 8 cm

The third side of triangle = 8 cm

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