SOLUTION: △ABC with m∠A = m∠B = 45° and BC = 4 Find: AB approximation

Question 1206650: △ABC with m∠A = m∠B = 45° and
BC = 4
Find: AB approximation

Answer by ikleyn(52788) (Show Source): You can put this solution on YOUR website!
.


This triangle has two base angle congruent, A and B, so, the triangle is isosceles.


Two angles are 45° each - hence, the third angle, C,  is  180° - 45° - 45° = 90°.


Thus the triangle is a right-angled isosceles triangle with lateral sides AC and BC.


Since AC = BC = 4 cm,  we have then  AB =  =   (Pythagoras).


ANSWER.  AB =  = 5.656854249  (approximately).

Solved.

RELATED QUESTIONS
Given: △ABC with m∠A = m∠B = 45° and BC = 5 Find: AC and AB simplest radical... (answered by Boreal)

In \triangle ABC, we have AB = AC = 4 and \angle BAC = 45^\circ. If M is the midpoint of (answered by CPhill,ikleyn)

A triangle ABC with A (1,1) and B(-1,4).The gradients of AB, AC and BC are - 3m,3mand m... (answered by Solver92311)

In right triangle ABC with right angle at C AB=17 BC=8 Find MN if M and N are... (answered by Cromlix,ikleyn)

Show a triangle ABC with A(1,1) and B(-1,4). The gradients of AB and BC are -3m,3m and m (answered by Alan3354,ikleyn)

In Triangle ABC shown below, AB= BC and m (answered by fractalier)
If triangle ABC is an isosceles with AB=BC if AB=4x and BC = 6x-15 find AB and... (answered by ewatrrr)
Please help me find the answe tho these questions: A triangle ABC with A(1, 1) and... (answered by math_tutor2020)
In triangle ABC, m(AB) = 8, m(BC) = 16, m∠x = 90� FIND m∠A (answered by Edwin McCravy)