6. Clark wants to transform a shape on the
1 answer:
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Answer:
The Length of third side is 52 units.
Step-by-step explanation:
Given:
Length of First side = 48
Length of second side = 20
Also given the angle between them is 90°.
Hence we can say figure shown is a right angled triangle.
For finding the third side we can use Pythagoras theorem which states that;
"If a triangle is right angled then, the Square of the hypotenuse is equal to sum of the square of the other two sides."
Hence substituting the values we get;
Now taking Square root on both side we get;
Hence Length of Third side is 52 units.
X - the volume of the tank
The tank holds 375 liters when full.
The tank holds 375 liters when full.
Based on the triangle sum theorem, exterior angle theorem, the true statements are:
m∠5 + m∠6 = 180°
m∠2 + m∠3 = m∠6
m∠2 + m∠3 + m∠5 = 180°
<h3>What is the Triangle Sum Theorem and the Exterior Angle Theorem?</h3>According to the triangle sum theorem, m∠2 + m∠3 + m∠5 = 180°.
Also, based on the exterior angle theorem, m∠2 + m∠3 = m∠6.
∠5 and ∠6 are a pair of linear angles, therefore: m∠5 + m∠6 = 180°.
In summary, the true statements about the diagram given are:
- m∠5 + m∠6 = 180°
- m∠2 + m∠3 = m∠6
- m∠2 + m∠3 + m∠5 = 180°
Learn more about the triangle sum theorem on:
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