Answer: 40
ADE = 70 por suma de angulos interiores en triangulo ADE
En triangulos BDE y AED
AE=BE por dato
DE lado comun
AED= BED= 90
por tanto los triangulos son iguales por tener dos lados y el angulo comprendido respectivamente iguales
Luego ADE = BDE = 70 y AD=BD=BC por ser triangulos BDE y AED iguales
Luego triangulo BDC isosceles de base DC
ADE + BDE + BDC = 180 por suma de angulos consecutivos
BDC = 180 - 70 -70 = 40
Ф = BDC =BCD = 40 por ser angulos bases de un triangulo isosceles
Answer:
Answer:
BC = 17.2.
Step-by-step explanation:
Since CAB = 90º, this is a right triangle.
The triangle format is given below:
C
A B
We have that AB = 8.6, and angle B measures 60º.
Length of BC:
BC is the hypotenyse.
Side AB is adjacent to angle B = 60º.
In a right triangle, angle , it's adjacent side with length s and the hypotenuse h are related by the cosine of the angle, that is:
In this question, we have an angle of 60º, with has cosine 0.5. We also have that side AB = s = 8.6, and the hypotenuse h is side BC. So
BC = 17.2.