MA1022 Week 12

Select the correct rearrange of Pythagoras' theorem to find the length of side b on the above triangle:

• $b=\sqrt{c^2+a^2}$

• $b=\sqrt{c^2-a^2}$

• $b=c-a$

• $b=\sqrt{c^2}-\sqrt{a^2}$

For a line with a gradient of 1  $\left(m=1\right)$ , and a y-intercept of 2, what is the x-intercept?  (Hint:  sketch the line)

(a)  

Find the missing length for the right-angled triangle above, which has a hypotenuse of 15 and one side length of 12.

(a)  

For a TV with a diagonal measurement of 100cm, if the base is 80cm long, what is the height of the TV?

(a)  

True/False: A triangle with side lengths of 4, 5 and 6 is a right-angled triangle?

• True

• False

Pythagoras' theorem holds for what type of triangles?

• All triangles

• Right-angled triangles

• Equilateral triangles

What is the midpoint between the two points  $\left(-2,4\right)$   and  $\left(4,-2\right)$ ?

•  $\left(1,1\right)$  

•  $\left(6,6\right)$  

•  $\left(2,2\right)$  

Find the gradient of the line in the figure. The line has a y-intercept of 4 and an x-intercept of 3.

•  $\frac{4}{3}$  

•  $-\frac{4}{3}$  

•  $\frac{3}{4}$  

•  $-\frac{3}{4}$  

Find the gradient of the line that passes through the points  $\left(2,-2\right)$  and $\left(-1,4\right)$ 

(a)  

For a line that goes through the points  $\left(2,4\right)$  and  $\left(-4,8\right)$ , which of the following represents how to calculate the gradient:

•  $m=\frac{8-4}{-4-2}$  

•  $m=\frac{-4-2}{8-4}$  

•  $m=\frac{8-\left(-4\right)}{4-2}$  

•  $m=\frac{8-2}{-4-4}$