Mathematics, 23.07.2019 02:00 bangbrokevo5685

In ∆abc with m∠c = 90° the sides satisfy the ratio bc: ac: ab = 4: 3: 5. if the side with middle length is 12 cm, find: 1) the perimeter of ∆abc; 2) the area of ∆abc; 3) the height to the hypotenuse. walk me through the question. 20 points.

Answers: 1

Show answers

Answers

Answer from: sama3638

There are (as with most math problems) at least a couple of different ways you can approach this. I prefer to think in terms of scale factors.

1) The perimeter of the 4:3:5 triangle is 4+3+5 = 12. The middle length of the 4:3:5 triangle is 4. The middle length of ∆ABC is 12, so is a factor of 12/4 = 3 longer. The perimeter of ∆ABC is a factor of 3 longer than 12, so is 3*12 = 36.

The perimeter of ∆ABC is 36 cm.

2) The area of a right triangle is half the product of the leg lenghts. For the 4:3:5 triangle, that is
area = (1/2)*4*3 = 6 units²
∆ABC has leg lengths that are a factor of 3 longer, so its area will be the square of that factor times the area of the 4:3:5 triangle.
area of ∆ABC = 3²×6 = 54 . . . . cm²

The area of ∆ABC is 54 cm².

We have already worked out the scale factor to be 3, so we know the side lengths of ∆ABC are (4×3):(3×3):(5×3) = 12:9:15. Then the area of ∆ABC is
area ∆ABC = (1/2)(12 cm)(9 cm) = 54 cm².

Answer from: Quest

3units/ 5 feet = 60 units/ 100 feet3 units/ 5 feet = 18 units/ 30 feetthe dimensions of the scale drawing are 60 units by 18 units.hope this !

Answer from: Quest

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

ask for details followreport by buttfacelily 2 minutes ago

answers

rauschg

rauschg · hand

know the answer? add it here!

step-by-step explanation:

Other questions on the subject: Mathematics

Mathematics, 21.06.2019 20:30, sadcase85

Acircus act has 3 times as many elephants as acrobats. jorge noticed that all together there were 56 legs in the circus ring. how many elephants were in the show?

Answers: 2

continue

Mathematics, 21.06.2019 22:00, connorhanratty6487

James is playing his favorite game at the arcade. after playing the game 33 times, he has 88 tokens remaining. he initially had 2020 tokens, and the game costs the same number of tokens each time. the number tt of tokens james has is a function of gg, the number of games he plays

Answers: 1

continue

Mathematics, 21.06.2019 22:30, mal5546

Olga bought a new skirt that cost $20. sales tax is 5%. how much did olga pay, including sales tax? 7.

Answers: 2

continue

Mathematics, 22.06.2019 00:10, abigaleschwartz

Answer asap and if you do you will get brainliest. catherine buys a gallon of ice cream from the store. after taking it home, she eats a fifth of a gallon of ice cream. her sister eats some of the ice cream as well. if two-thirds of the original amount of ice cream is left, then what fraction of a gallon of ice cream did her sister eat?

Answers: 2

continue

You know the right answer?

In ∆abc with m∠c = 90° the sides satisfy the ratio bc: ac: ab = 4: 3: 5. if the side with middle len...