Question

in a triangle abc angle b is equal to 90 and ac is equal to 8 root 2 if ab is equal to BC then find a b​

Answer 1

Answer: 8cm

Step-by-step explanation:

In ∆ABC, <B = 90°. Also, AB=BC,

Therefore, <A=< C ( Since angles opposite to equal sides are also equal)

Now,

<A+<B+<C =180° ( Angle sum property of a triangle)

<A+<A+90°= 180° ( <A=<B)

2<A = 90°

<A= 45°

Now,

Let <A be reference angle.

Therefore,

Sin 45°= BC/AC

=> 1/√2= BC/8√2

=> BC√2= 8√2

BC = 8cm

AB= BC

Therefore, AB = 8cm

Hope it helps.....

Answer 2

Answer:

MATHS

In a right triangle ABC,∠B=90

∘

.

If AB=6cm,BC=8cm, find AC in cm