Answer:
1) no, it is not a right triangle. 3² + 4² ≠ 25²
2) no, it is not a right triangle. 38² + 77² ≠ 86²
3) no, it is not a right triangle. 10² + 36² ≠ 37²
4) yes, it is a right triangle. 30² + 40² = 50²
5) yes, it is a right triangle. 8² + 15² = 17²
6) yes, it is a right triangle. 18² + 24² = 30²
7) no, it is not a right triangle. 5.3² + 7.9² ≠ 8.1²
8) yes, it is a right triangle. 10² + 24² = 26²
Answer:
Derived from the Pythagorean Theorem, the distance formula is used to find the distance between two points in the plane. The Pythagorean Theorem, a2+b2=c2 a 2 + b 2 = c 2 , is based on a right triangle where a and b are the lengths of the legs adjacent to the right angle, and c is the length of the hypotenuse.\:
The measure of each angles are m∠F = 46°, m∠D = 32°, m∠E = 102°.
<h3>What is angle?</h3>
An angle in plane geometry is a shape created by two rays or lines that have a common endpoint. The Latin word "angulus," which means "corner," is where the word "angle" comes from. The common endpoint of two rays is known as the vertex, and the two rays are known as sides of an angle.
The angle that lies in the plane need not be in Euclidean space. Angles are referred to as dihedral angles if they are produced by the intersection of two planes in a space other than Euclidean. The symbol "" is used to represent an angle.
We have given that Δ DEF has
m∠D = m∠F - 14
And
m∠E = 10 + 2(m∠F)
We know that that sum of all angels in a triangle is 180°, So
m∠D + m∠E + m∠F = 180°
Substituting the values we get
(m∠F - 14) + (10 + 2(m∠F)) + m∠F = 180°
m∠F - 14 + 10 + 2m∠F +m∠F
4(m∠F) - 4 = 180
4(m∠F) = 180 + 4
4(m∠F) = 184
(m∠F) = 46°
m∠D = 46° - 14
m∠D = 32°
m∠E = 10 + 2(m∠F)
m∠E = 10 + 2( 46°)
m∠E = 10 + 92°
m∠E = 102°
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The answer is true I hope I helped