Find the square roots
1 answer:
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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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Answer:
<u><em>Question 10.</em></u>
Length of the side of the square =
By Pythagoras' Theorem,
Hypotenuse = (H > 0)
= 29 m
Ans: 29 m
<u><em>Question 11.</em></u>
By Pythagoras' Theorem,
Length of longer side of 42 km = 42- (L > 0)
= 32.050 km (5 s.f.)
By Pythagoras' Theorem,
Length of the unknown side = (L > 0)
= 35.4 km (3 s.f.)
Ans: 35 km
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