MYTUTOR SUBJECT ANSWERS

424 views

The shortest side of a triangle is 4.3m long. Two of the angles are 45.1 and 51.2 degrees respectively. Find the length of the longest side.

To begin we calculate the third unknown angle in the triangle by taking the two known angles (45.1 and 51.2) away from 180 degrees (remember the interior angles of a triangle sum to 180). We find this angle to be 83.7. As the question states the shortest side is 4.3m, we can tell that this must be opposite the smallest angle in the triangle. Now draw a sketch of the triangle to help visualise. Now we know 1 side length and 3 angles. We can now use the sine rule [(sin(A)/a=sin(B)/b] to solve. The question asks for the longest side length, so this must be the side opposite the largest angle (83.7). So by substituting A=83.7, B=45.1 and b=4.3 into the sine rule equation we can calculate the longest side length 'a'. We get a to be 6.03 correct to 2 d.p.

Adam J. GCSE Maths tutor, A Level Maths tutor, GCSE Physics tutor, A ...

1 year ago

Answered by Adam, an A Level Maths tutor with MyTutor


Still stuck? Get one-to-one help from a personally interviewed subject specialist

264 SUBJECT SPECIALISTS

Timothy N. A Level Design & Technology tutor, GCSE Design & Technolog...
£20 /hr

Timothy N.

Degree: Architecture and Environmental Engineering (Masters) - Nottingham University

Subjects offered:Maths, Science+ 3 more

Maths
Science
Physics
Design & Technology
-Personal Statements-

“Hi there, I have a passion for helping students achieve, and believe that with my years of experience tutoring, we will be able to surpass the grades you want!”

Ethan R. A Level Maths tutor, GCSE Maths tutor
£20 /hr

Ethan R.

Degree: Maths and Physics (Masters) - Durham University

Subjects offered:Maths, Physics+ 1 more

Maths
Physics
Further Mathematics

“Hi, I'm Ethan. I like to take a friendly approach to tutoring and want to learn what works best for you. Maths can be easy, as long as you know how!”

£20 /hr

Daniel O.

Degree: Natural Sciences (Masters) - Nottingham University

Subjects offered:Maths, Physics+ 1 more

Maths
Physics
Chemistry

“An enthusiastic Natural Sciences undergraduate at the University of Nottingham with industry experience working for the Defence Science Technology Laboratories.”

About the author

£20 /hr

Adam J.

Degree: Maths and Physics (Masters) - Durham University

Subjects offered:Maths, Physics

Maths
Physics

“Top tutor from the renowned Russell university group, ready to help you improve your grades.”

MyTutor guarantee

You may also like...

Posts by Adam

A ball is thrown out of a window 18m off the ground. It is thrown horizontally at 0.5m/s. Show that it takes about 2s to reach the ground

The shortest side of a triangle is 4.3m long. Two of the angles are 45.1 and 51.2 degrees respectively. Find the length of the longest side.

Other A Level Maths questions

G(x)=x^3 + 1, h(x)=3^x; solve G(h(a))=244

Given that y=(4x^2)lnx, find f"(x) when x=e^2

How to complete the square?

How would you solve (2x+16)/(x+6)(x+7) in partial fractions?

View A Level Maths tutors

We use cookies to improve your site experience. By continuing to use this website, we'll assume that you're OK with this. Dismiss

mtw:mercury1:status:ok