Given right triangle abc, where angle m ‹a is equal to 45 °, m‹ b = 45°, m‹c=90° solve

3. a= b=8√3 c=

4. a= b= c=4

A ) a = 8  , c = 8

B ) a = 2 ,  b = 2  

Step-by-step explanation:

Given as :

A ) ABC is right triangle , right angle at c

So, ∠ C = 90°

And ∠ A = 45°   ,  ∠ B = 45°

And BC = a , CA = b , AB = c

measure of side b = 8

Now, from right angle triangle ABC

Tan ∠ C =

Or, Tan 45° =  

or, 1 =   }" alt="\sqrt{3}" /> }" />

∴ a = 8

Now, c² = a² + b²

Or, c² = ( 8 )² + (8 )²

Or, c = 8

Again

B ) c = 4

So, Sin ∠ A =

or , Sin 45° =  

Or , a = 4 × Sin 45°

∴    a = 4 ×

I.e a = 2

Now , b² =  c² - a²

Or,  b² = 4² - (2)²

Or,   b² = 16 - 8 = 8

Or , b = 2

Hence the solution of given expression

A ) a = 8  , c = 8

B ) a = 2 ,  b = 2     Answer

the radius is 2 times the diameter.

step-by-step explanation: