Question and answer
The base of a triangle is 4cm greater than the height. The area is 30cm^2. find the height and the length of the base.
Area, A, = 1/2bh. Given: b = h + 4, A = 30 cm^2. 30 = 1/2bh. Substitute b = h + 4 for b and solve for h. 30 = 1/2(h + 4)h. Multiply both sides of the equation by 2 to eliminate the fraction. 60 = (h + 4)h. Distribute h. 60 = h^2 + 4h. [ Subtract 60 from both sides of the equation. 0 = h^2 + 4h - 60. Factor. 0 = (h + 10)(h - 6). Set each binomial equation equal to 0. h + 10 = 0. h = - 10. Can't be an answer as it is negative. h - 6 = 0. h = 6 cm. Answer for the height. Since the base, b, = h + 4, substitute h = 6 and solve for b. b = 6 + 4 = 10 cm. Answer for the base. ]
s
Question
Asked 3/17/2012 1:33:23 PM
0 Answers/Comments
This answer has been confirmed as correct and helpful.
Get an answer
New answers
Rating

There are no new answers.

Comments

There are no comments.

Add an answer or comment
Log in or sign up first.
33,788,030
questions answered
GET
Answers.
GET THE APP.
weegy*
*
Get answers from Weegy and a team of really smart live experts.
Popular Conversations
Which is not a factor of ...
4/29/2021 6:55:24 PM| 5 Answers
Fill in the blank. One of the best reasons to write is to _______ ...
Weegy: One of the best reasons to write is to express what we think. Planning is the first stage of the writing ...
5/5/2021 5:54:30 PM| 4 Answers
name the eight parts of speech. Defined the word grammar. In what ...
Weegy: Power is the time rate at which work is done or energy is transferred.
5/5/2021 11:18:48 PM| 3 Answers
National Preparedness Mission?
Weegy: Preparedness refers to a very concrete research-based set of actions that are taken as precautionary measures in ...
4/29/2021 2:28:25 PM| 3 Answers
Wikipedia pages should get high ratings for all user intents because ...
Weegy: Wikipedia pages should get high ratings for all user intents because information is always helpful. FALSE. ...
5/3/2021 8:39:06 AM| 3 Answers
S
L
Points 211 [Total 211] Ratings 1 Comments 201 Invitations 0 Online
S
L
P
P
L
P
Points 120 [Total 6450] Ratings 0 Comments 120 Invitations 0 Offline
S
L
P
R
Points 119 [Total 2265] Ratings 0 Comments 119 Invitations 0 Online
S
L
P
Points 76 [Total 1834] Ratings 0 Comments 76 Invitations 0 Offline
S
L
Points 59 [Total 375] Ratings 4 Comments 19 Invitations 0 Online
S
L
Points 56 [Total 255] Ratings 0 Comments 16 Invitations 4 Offline
S
L
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
Points 48 [Total 3770] Ratings 4 Comments 8 Invitations 0 Offline
S
R
L
P
P
Points 47 [Total 3278] Ratings 0 Comments 47 Invitations 0 Offline
S
Points 40 [Total 50] Ratings 4 Comments 0 Invitations 0 Online
S
L
1
1
1
1
1
Points 30 [Total 1811] Ratings 3 Comments 0 Invitations 0 Offline
* Excludes moderators and previous
winners (Include)
Home | Contact | Blog | About | Terms | Privacy | © Purple Inc.