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Find the length of the longest side of a right angled triangle with the two smaller sides equal to 8 and 15.

As the triangle in the question is a right angled triangle we can use Pythagoras Theorem , a 2 +b 2 =c 2 . c is the size of the longest size which is what we are looking for and a and b are lengths 8 and 15....
CP
Answered by Calum P. • Maths tutor
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Expand and simplify 4(x+5) + 3(x-7)

When we're doing algebra and expanding brackets, our first step is to multiply everything inside each bracket by what we have just before the bracket. Let's start with the 4(x+5). 4 lots of our unknown myste...
CM
Answered by Connor M. • Maths tutor
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Prove that multiplication of two odd numbers produces an odd number.

An even number is any number that can be divided by two to give a whole number. If we define "n" as "any whole number", we can say that "2n" is an even number. Odd numbers canno...
JJ
Answered by Joseph J. • Maths tutor
28676 Views

Expand and Simplify: 6(2x+3) -x(3+(1/x))

Start by expanding the brackets: (Take special care to remember the minus sign when expanding the second bracket as this is a common mistake)= 6 2x + 6 3 - 3 x - x (1/x)Simplify further:= 12x + 18 - 3x - 1=9...
OB
Answered by Orlando B. • Maths tutor
4983 Views

A right-angled triangle has two smaller sides of length 5cm and 12cm. What is the length of the hypotenuse?

By Pythagoras' Theorem, we know 5 2 +12 2 = c 2 . So c 2 = 169, thus c = +13 as lengths are positive.
NC
Answered by Niall C. • Maths tutor
4548 Views