Answer: DEDUCTIVE reasoning.
Step-by-step explanation:
Answer:
x = 0.2
Step-by-step explanation:
Answer:
Step-by-step explanation:
Since it is a right-angled triangle, it has base, perpendicular and hypotenuse.
Base = r
Perpendicular = 14
Hypotenuse = r + 7
<u>Using Pythagoras theorem:</u>
Put the values
(r + 7)² = (r)² + (14)²
Using formula a² + 2ab + b² = (a + b)²
r² + 14r + 49 = r² + 196
<em>Subtract</em> r² to both sides
14r + 49 = 196
<em>Subtract</em> 49 to both sides
14r = 196 - 49
14r = 147
<em>Divide</em> 14 to both sides
r = 147 / 14
r = 10.5
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Substitute value of y from equation (1) in equation (2),
5x-4(5-3x) = -3
5x-20+12x = -3
17x=17
x = 1
Substitute it in equation (1),
y = 5-3(1)
y = 5-3 = 2
So, the values (x,y) = (1,2)
The area of a triangle is 1/2(base x height) .
The two legs of this triangle are equal. If you position it properly,
one of them is the base, and the other one is the height.
Since it's a right triangle, A² + B² = C²
But A = B and C = 24 .
2A² = (24)²
A² = (24)² / 2
But since A=B, A² is also (base x height) of the triangle.
Area is just 1/2 of it.
Area = 1/2(24²/2) = (24)²/4 = (24/2)² = (12)² = <u>144</u> .
