Question

find the area of triangle ABC given that CA = 7cm angle ABC = angle BCA = 45 °

Answer 1

Thank you for asking this question. Here is your answer:

Since the triangle is isosceles, we have BA = CA = 7 cm.  

m∠BAC = 180° - m∠ABC - m∠CBA

= (180-45-45)°

= 90°, 

so BA and CA are perpendicular.

Therefore the area of the triangle is 

(1/2) BA * CA

= 24.5 cm^2.

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