MYTUTOR SUBJECT ANSWERS

576 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

360 SUBJECT SPECIALISTS

Roma V. A Level Maths tutor, 13 Plus  Maths tutor, GCSE Maths tutor, ...
£26 /hr

Roma V.

Degree: Mathematics, Operational Research, Statistics and Economics (Bachelors) - Warwick University

Subjects offered:Maths, Further Mathematics + 1 more

Maths
Further Mathematics
Economics

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

PremiumGeorge B. GCSE Maths tutor, A Level Maths tutor, A Level Further Math...
£26 /hr

George B.

Degree: Mathematics (Masters) - Warwick University

Subjects offered:Maths, Further Mathematics + 1 more

Maths
Further Mathematics
.STEP.

“Premium tutor. First class graduate with teaching experience from a top Russell Group university. I deliver fun and relaxed lessons which achieve results!”

£26 /hr

Luke B.

Degree: Mathematics (Masters) - Sheffield University

Subjects offered:Maths, Further Mathematics + 3 more

Maths
Further Mathematics
.STEP.
.MAT.
-Personal Statements-

“I am a fun, engaging and qualified tutor. I'd love to help you with whatever you need, giving you the support you need to be the best you can be!”

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

Integrate ln(x)/(x^3)

What is a stationary point and how do I find where they occur and distinguish between them?

What is the integral of (6x^2 + 2/x^2 + 5) with respect to x?

A curve has the equation x^2+2y^2=3x, by differentiating implicitly find dy/dy in terms of x and y.

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