The triangle with side lengths 10", 24", and 26" is a right angle triangle
<u>Explanation:</u>
Given:
Sides of a triangle:
a = 10 in
b = 24 in
c = 26 in
To prove: right angle triangle
Using pythagoras theorm:
(c)² = (a)² + (b)²
(26)² = (10)² + (24)²
676 = 100 + 576
676 = 676
Right hand side is equal to left hand side.
Thus, the triangle with side lengths 10", 24", and 26" is a right angle triangle
Answer:
y =
Step-by-step explanation:
x^2 + z^2 = 29^2
x^2 = y^2 + 9^2
y^2 + 20^2 = z^2
29^2 - z^2 = y^2 + 81 (equating for x^2 from eqn 1 and 2)
substitute 3rd eqn in 4th
29^2 - (y^2 + 20^2) = y^2 + 81
841 - y^2 - 400 = y^2 + 81
441 = 2y^2 + 81
360 = 2y^2
y^2 = 180
y =
=
y =
Answer:
Explanations:
An exponential function is given by the equation:
For the points (-2, 1) and (1, 1/64)
Substitute x₁, y₁, x₂, and y₂ into the functions to form two equations
Divide equation (2) by equation (1)
Substitute the value b = 1/4 into the equation (2)
Answer:
15
Step-by-step explanation:
Applying,
The angle bisector theorem of triangle
From the diagram,
Since ΔAMT is an issoceless triangle,
Then,
Line OA divides Line MT into two equal parts.
Therefore,
Line MO = Line OT.............. Equation 1
From the diagram,
Line MO = 4x-1, Line OT = 3x+3
Substitute into equation 1
4x-1 = 3x+3
Collect like terms
4x-3x = 3+1
x = 4.
Therefore,
OT = 3(4)+3
OT = 12+3
OT = 15