Correct me if I’m wrong please
B): x=8, y=8root2, z=16
c): x=4, y=12, z=8root3
The ones later one you can do by your self.
30 60 90 triangle side ratio: 1:root3:2
90 45 45 triangle side ratio: 1:1:root2
If a triangle has sides of 7 cm and it is an equilateral you can draw a line right down the middle to form two congruent triangles.
These smaller triangles have a hypotenuse of 7cm and a base of 3.5 cm (7/2)
To work out the height, use Pythagoras’ theorem.
a^2 + b^2 = c^2 where c is the hypotenuse and a and b are the other two sides
7^2 - 3.5^2 = 36.75
Square root answer
= 6.06 cm
That’s the height of the triangle
Area of a triangle is base x height divided by 2
So 7 x 6.06 = 42.43…
/2
= 21.2 cm^2 to one d.p
Hope this helped!
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Answer:
4) c = 10
5) b = 10
6) b = 12
7) a = 4
Step-by-step explanation:
<h3>Pythagorean Theorem = a^2 + b^2 = c^2</h3>
to solve these, just substitute a, b, and c for the values given.
4) a = 8, b = 6
a^2 + b^2 = c^2
8^2 + 6^2 = c^2
64 + 36 = c^2
100 = c^2
c = 
c = 10
5) a = 24, c = 26
a^2 + b^2 = c^2
24^2 + b^2 = 26^2
576 + b^2 = 676
subtract 576 from both sides
b^2 = 676 - 576
b^2 = 100
b = 10
6) a = 5, c = 13
a^2 + b^2 = c^2
5^2 + b^2 = 13^2
25 + b^2 = 169
subtract 25 from both sides
b^2 = 169 - 25
b^2 = 144
b = 12
7) b = 11, c = 
a^2 + b^2 = c^2
a^2 + 11^2 = 137
a^2 + 121 = 137
a^2 = 137 - 121
a^2 = 16
a = 4