438 views

### Lengths of two sides of the triangle and the angle between them are known. Find the length of the third side and the area of the triangle.

We don't know what type of a triangle we're considering here. Therefore the universal and quickest solution to the first problem is use of the cosine rule, which states that for a triangle with sides a,b and c and the angle θ between sides “a” and “b”:

c2=a2+b2-2*a*b*cos(θ)

To find the area of the triangle we should use the formula:

A=1/2*a*b*sin(θ)

11 months ago

Answered by Szymon, a GCSE Further Mathematics tutor with MyTutor

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

#### 138 SUBJECT SPECIALISTS

£22 /hr

Degree: Medicine (Bachelors) - Edinburgh University

Subjects offered:Further Mathematics , Maths+ 3 more

Further Mathematics
Maths
Chemistry
Biology
-Medical School Preparation-

“Hi! I'm Ed and I'm currently studying Medicine at the University of Edinburgh. I tutor at GCSE and A Level forBiology, Chemistry and Maths, and at GCSE level forFurther Maths. These are subjects I'm very comfortable in and enjoy. With ...”

£24 /hr

Degree: MMath Mathematics with Placement (Masters) - Bath University

Subjects offered:Further Mathematics , Maths+ 4 more

Further Mathematics
Maths
Italian
Computing
.STEP.
.MAT.

£18 /hr

Degree: General Engineering (Masters) - Durham University

Subjects offered:Further Mathematics , Physics+ 1 more

Further Mathematics
Physics
Maths

“Second year Engineering student, I'm passionate, dedicated and personable. A- Level Maths and Physics (A*AA).”

MyTutor guarantee

£30 /hr

Degree: Mechanical Engineering (Masters) - Manchester University

Subjects offered:Further Mathematics , Physics+ 1 more

Further Mathematics
Physics
Maths

“I am a student pursuing my degree in Mechanical Engineering at the University of Manchester. I've had over 4 years of experience in teaching Maths and Physics.”

### You may also like...

#### Other GCSE Further Mathematics questions

Solving equations with unknown in both sides

What is the range of solutions for the inequality 2(3x+1) > 3-4x?

Given a^2 < 4 and a+2b = 8. Work out the range of possible values of b. Give your answer as an inequality.

How can you divide an algebraic expression by another algebraic expression?

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