Question

Can someone step by step explain the answer to me please and thank u

Answer 1

First

angle in front of c is 30°, so hypotenuse is equal to 2c

it's right triangle, so let's use Pythagorean theorem\

`(2c)^2=c^2+4^2\\4c^2=c^2+16\\3c^2=16\\\\c^2=(16)/(3) \\\\c=(4)/(√(3) ) =(4√(3) )/(3 )`

Second

b - the base of the triangle, angles at the base are equal ⇒ cathets are equal

it's right triangle, so let's use Pythagorean theorem

`b^2=7^2+7^2\\b^2=49+49\\b=√(2*49) =7√(2)`