Given: ​△ABC​ with side lengths a, b, and c, and height h Prove: ​Area=12absinC​

Triangle A B C has sides a b c. A vertical dashed line extends from angle B perpendicular to side b.

Drag and drop the statements into the boxes to correctly complete the proof.

Statement Reason
​△ABC​ with side lengths a, b, and c, and height h Given
​​Response area Triangle area formula
​​ ​sinC=ha​ Definition of sine
​​Response area Multiplication Property of Equality
Area=12basinC Substitution Property
​​Response area Commutative Property of Multiplication​

step-by-step explanation:

always plug in x. in this case, x equals 4.

i'm going to first solve 4(2+3x)

1) 4(2+3(4)) use pemdas to solve.

i'm going to multiply whats in the parenthesis first, so 3 times 4=12.

2)4 (2+12) i'm then going to multiply 4 by both numbers in the parenthesis (because multiplying comes before adding)

4 times 2= 8.   4 times 12= 48

4) (8+48)= 56 (answer)

i'm then going to solve 8+12x and plug in 4 for x.

1) 8 +12(4)

multiplying comes before adding, so i'm gonna multiply 12 and 4.

12 times 4= 48.

2) 8+48=56

both equal the same!

honesty mood

step-by-step explanation:

just sum

10 + 10 = 20