The triangles are similar because of the SAS postulate. The sides are proportional and angle T is equal in both.
Answer:
y = -2x - 5
Step-by-step explanation:
y = -2x + b
- To find the y-intercept, plug the values of the variables.
5 = -2(-5) + b
5 = 10 + b
- Subtract 10 from both sides.
-5 = b
Answer:
Step-by-step explanation:
Since the length of both legs of the right angle triangle are given, we would determine the hypotenuse, h by applying Pythagoras theorem which is expressed as
Hypotenuse² = one leg² + other leg²
Therefore,
h² = (3a)³ + (4a)³
h² = 27a³ + 64a³
h² = 91a³
Taking square root of both sides,
h = √91a³
The formula for determining the perimeter of a triangle is expressed as
Perimeter = a + b + c
a, b and c are the side length of the triangle. Therefore, the expression for the perimeter of the right angle triangle is
√91a³ + (3a)³ + (4a)³
= √91a³ + 91a³
