Let ∆ABC is a triangle such that side length of AB is c , BC is a and CA is b .
Given, AB = c = 8
m∠A=60°
m∠C=45°
m∠B = (180 - 45 - 60)° = 75°
use sine rule to get b and c
\frac{sinA}{a}=\frac{sinB}{b}=\frac{sinC}{c}asinA=bsinB=csinC
so, \frac{sin60^{\circ}}{8}=\frac{sin45^{\circ}}{c}=\frac{sin75^{\circ}}{b}8sin60∘=csin45∘=bsin75∘
sin60°/8 = sin45°/c
(√3/2)/8 = (1/√2)/c
√3/16 = 1/√2c => c = 16/√6
also, sin60°/8 = sin75°/b
b = 8sin75°/sin60°
= {8 × (√3 + 1)/2√2}/{√3/2}
= 4√2(√3 + 1)/√3
hence, perimeter of ∆ABC = a + b + c
= 8 + 16/√6 + 4√2(√3 + 1)/√3
= 8 + (16 + 8√3 + 8)/√6
= 8 + (24 + 8√3)/√6
= 8 + 4√6 + 4√2
area of ∆ABC = 1/2 absinC
= 1/2 × 8 × 4√2(√3 + 1)/√3 × sin45°
= 4 × 4√2(√3 + 1)/√3 × 1/√2
= 16(√3 + 1)/√3
= (48 + 16√3)/3
= 16 + 16/√3
X=4 because they would have to run along each other. Parallel is two lines on the same plane meaning up and down or horizontal. For example, two Ls next to each other are parallel: ll, and the equal sign has two parallel lines: =. Therefore, x= means two Ls. So to find an equation that is parallel to x=7, you must find an equation that has a x= in it.
Answer: answer is 0, option A is correct
Step-by-step explanation:
To evaluate the expression,
(5 − 4)0 + (7 − 3)0
Step 1: open the bracket
( 1) 0 + ( 4) 0.....as a mathematical rule, any number multiplied by 0 becomes 0
= 0 + 0 = 0
Answer:
Step-by-step explanation: