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two connected triangles in an overall shape ABCD, find length AD

Use cosine rule to find the length of BD then use this with the sine rule to find length AD, will be more obvious with the diagram on the whiteboard.

Answered by Jack K. • Maths tutor

2681 Views

A cuboid has edge 7 centimetres, 5 centimetres and a total surface area of 142 centimetres squared. A larger, similar cuboid has a shortest edge of 12 centimetres. Find the third edge of the smaller cuboid and the volume of the larger cuboid.

Let's call the length of the third edge "Y" so we have edges of 7cm, 5cm and Ycm.There are 6 faces but opposite faces are the same, so there are 3 pairs of faces which are 5cm by 7cm, 5cm by Ycm...

Answered by Ollie R. • Maths tutor

4877 Views

How do you break down a wordy question (e.g. Aled has three concrete slabs. Two slabs square, of length x, & the third rectangular of dimensions 1m & x+1m. Show 2x^2 +x-6=0 & Solve this)

Start off by taking a breather. Let's break this down into the components of the problem, in this case the three slabs (a,b,c)A_a=lh=xx=x²A_b=A_a=x^2...

Answered by Gwynfor M. • Maths tutor

2793 Views

Solve the simultaneous equations: a) 2x + y = 18, b) x - y = 6

Notice we have two different equations but that 'x' and 'y' take the same value in both equation a and equation b. In order how to work out what values they take we need to combine the two different equat...

Answered by Rebecca C. • Maths tutor

3032 Views

The sides of an equilateral triangle are given by the expressions x+y, 2y-1 and 3y-2x+1. Find the values of x and y.

This question test knowledge of the geometry of equilateral triangles and the students ability to solve linear equations.
First we note that an equilateral triangle has equal sides. Then we can write...

Answered by Joe S. • Maths tutor

7378 Views