Question

triangle ABC is an isosceles triangle with C is equal to 90 degree and ab AC is equal to 5 cm then ab =?​

Answer 1

According to question,

Given: ∠C = 90°

Triangles mcq solution image

BC = AC = 5 cm (Isosceles triangle)

By Pythagoras theorem

AB2 = AC2 + BC2

AB2 = 52 + 52

AB2 = 25 + 25

AB2 = 50

AB = 5–√2 cm

Answer 2

Step-by-step explanation:

Hello,

Given :-

Triangle ABC is a isosceles triangle and Angle C is 90 degrees.

Also,

AC = 6 cm

Now,

Please refer the above attachment for the figure.

Now,

AC =BC

(triangle is isosceles)

So,

BC = 6 cm

Also,

The triangle is a right triangle

applying Pythagoras theorem to obtain the value of AB

{ab}^{2} = {bc}^{2} + {ac}^{2}ab2=bc2+ac2

So now

ab = \sqrt{ {bc}^{2} + {ac}^{2} }ab=bc2+ac2

So

Putting the values

\begin{gathered}ab = \sqrt{ {6}^{2} + {6}^{2} } \\ ab = \sqrt{36 + 36} = \sqrt{72} \\ ab = 6 \sqrt{2} \: \: cm\end{gathered}ab=62+62ab=36+36=72ab=62cm

So,

The value of AB is 6root2 cm.

Hope this will be helping you ✌️