The work become much simpler if you do it in a table. Hope this helps!!
Answer:
<h2>3 and -8</h2>
Step-by-step explanation:
The missing side of the triangles are 5, 16.92, 7 and 5 respectively.
Step-by-step explanation:
- Step 1: Use the Pythagoras Theorem to find the missing sides.
a² + b² = c²
In the first triangle, a = 3, b = 4.
c² = 3² + 4² = 9 + 16 = 25
⇒ c = 5
∴ Missing side is 5
In the second triangle, a = 15, b = 8
c² = 15² + 8² = 225 + 64 = 289
⇒ c = 16.92
Missing side is 16.92
In the third triangle, b = 24, c = 25
a² = c² - b²
a² = 25² - 24² = 625 - 576 = 49
⇒ a = 7
Missing side is 7
In the fourth triangle, a = 12, c = 13
b² = c² - a²
b² = 13² - 12² = 169 - 144 = 25
⇒ b = 5
Missing side is 5
Answer: 6. x=29yd 7. x-6.5cm
Step-by-step explanation:
6. All the sides of the square are equal (we know this because of the little lines on the sides), and the equation for finding the hypotanuse of a triangle is a^2+b^2=c^2. That's 20^2+21^2=x^2. That simplifies to 841^2=x^2, which then simplifies to x=29.
7. The bottom of the triangles are the same length, so each one is 2.5cm long. The angles are also the same, which means that the triangles are equal, so we have 2 similarities between the triangles, so they are both the same (You'll learn why later in math)
