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Maths
GCSE

ABC and DEF are similar isoceles triangles. AB=BC=5cm, AC=6cm, DF=12cm. What is the area of DEF?

We first split ABC into two right-angled triangles. We name the midpoint of AC, M. AM=1cm, and BM=sqrt(52-32)=4 by Pythagoras. The area of ABC =1/2ACBM=1/264=12. We...

PG
Answered by Peter G. Maths tutor
3268 Views

ABC is an acute-angled triangle. BA=7cm and BC=8cm. The area of triangle ABC is 18 cm^2 . Work out the size of angle BAC. Give your answer correct to 3 significant figures. You must show all your working.

Draw the triangle ABC and fill in the information given i.e. lengths of BA and BC and identify the angle we are looking for i.e angle BAC Looking at the formulas given identify which one...

AM
Answered by Anna M. Maths tutor
11146 Views

What is the difference between LCM and HCF?

LCM stands for Lowest Common Multiple, and HCF stands for Highest Common Factor.

The key to telling the difference between these two things is knowing the differen...

JC
Answered by Joe C. Maths tutor
113206 Views

Rationalise the following: { 5 } / { 3 - sqrt(2) }

The aim here is to turn the fraction so that the denominator does not have a surd. 

Given that we know that any surd squared is equal to the number itself, i.e sqrt(2) * sqrt(2) eq...

AS
Answered by Amin S. Maths tutor
5632 Views

Solve the equation: x^2 + 9x + 20 = 0

This is a quadratic equation. There are different ways to solve quadratic equations including factorising them and using the quadratic formula. This is a simple equation so it cn be solved by factorising....

FM
Answered by Francesca M. Maths tutor
8333 Views

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