SST's
What is a diagonal?
A straight line that crosses a polygon to join two non-adjacent vertices.
A triangles hypotenuse is 15cm. The length of the other side is 9cm. Find the length of the shorter side
12cm
Shane marched 3 m east and 6 m north. How far is he from his starting point? (2.d.p)
6.7m
Which of the following is Pythagoras' Formula, c2 = a2 + b2 OR a2+b2 = c2?
Both!
What is the length of the hypotenuse in a triangle with side lengths of 3cm and 4cm?
5cm
To square a number is to what?
Multiply that number by itself
If c=22cm, a=12cm, then b=? (to 2d.p)
18.44cm
A 3.5m ladder is leaning against the side of a building and is positioned such that the base of the ladder is 2.1m from the base of the building. How far above the ground is the point where the ladder touches the building?
2.8m
Find x if x2 = 40? (1.d.p)
6.3
True or False. Does the triangle with side lengths of 9 & 13 have a hypotenuse of 16cm?
False. It is actually 15.8cm
Define the hypotenuse
The longest side in a right angled triangle OR the side opposite the right angle in a right angled triangle
To 2 decimal places, what is the length of the shorter side, if the hypotenuse is 21m and the other side is 15m?
14.70m
A man travels north east for 8km. Then South for 6km until he is due east from his starting point. How far from his starting point is the man? (1.d.p)
5.3km
If c2 does in fact equal a2 + b2, What does it tell us about the lengths of the triangle?
It is a triad, and the lengths form a right angled triangle
In order to calculate the hypotenuse in an isosceles triangle, what piece of information is needed? (Assuming the base is already given)
The perpendicular height of the triangle.
What is the key feature of a right triangle?
The right angle.
For a triangle with a hypotenuse of 40cm & one other side 24cm. Would the remaining side length be 32cm? Why or why not?
Yes. Part of the 3,4,5 triad. All numbers are multiples of 8
A square has side lengths of 7cm. What is the length of the diagonal? (2.d.p)
9.90cm
What 2 other triangles can be determined by using pythagoras theorem?
obtuse and acute
Can the hypotenuse EVER be a negative number?
No, as the hypotenuse is a length. You can't have a negative length!
When two lines meeting at right-angles, they are called what?
Perpendicular.
Find the length of the shorter side in the triangle with lengths 19.5 and 18.6. Leaving your answer in exact form.
sqrt(34.29)
A pole 7.5 meters high and another pole 4.5 meters high, have a wire connecting their tops. If the poles are 4 meters apart, how long is the wire?
5 meters long
Round the square root of 99.999 to 2 decimal places.
10.00
The side lengths of a triangle are square root of 5 and square root of 6. What is the length of the hypotenuse? Leave your answer in exact form.
sqrt11.