Answer:
5cm
Step-by-step explanation:
To find the missing side we use the hypotenuse theorem.
a^2 + b^2 = c^2
The longest side of the triangle would be c. So substitute the numbers into the variables.
a^2 + 12^2 = 13^2
a^2 = 13^2 - 12^2
a^2 = 169 - 144
a^2= 25
a = √25
a=5
The missing leg's length is 5cm
Answer:
<h2>16</h2>
Step-by-step explanation:
Length of x is 98.2 m
<u>Step-by-step explanation:</u>
Step 1:
Use the trigonometric ratio tan 27° to find the common side of both the right angled triangles.
tan 27° = opposite side/adjacent side = opposite side/9
∴ Opposite side = 9 tan 27° = 9 × - 3.27 = -29.46 m
Step 2:
Use this side and trigonometric ratio cosine to find the value of x.
cos 49° = adjacent side/x = -29.46/x
∴ x = -29.46/cos 49° = -29.46/0.30
= 98.2 m (negative value neglected)
<span>a = 1/2 x b x h
h = 3b
so 1/2 x b x 3b = (1/2)(3b^2) = 150
(150 x 2)/3 = b^2
100 = b^2
b = square root of 100 = 10
h = 3b = 3 x 10 = 30</span>
Answer:
5+5x-4y
Step-by-step explanation:
