Pythagorean Theorem and Applications Question
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Grade 8 Pythagorean Theorem and Applications CCSS: 8.G.B.6
Write the letter "D" at the point where the altitude meets line AC.
Given: Triangle ABC is a right triangle; ∠B is a right angle; line BD is perpendicular to AC
Which reason explains the following relationships?
ACBC=BCDC;ACAB=ABAD
Given: Triangle ABC is a right triangle; ∠B is a right angle; line BD is perpendicular to AC
Which reason explains the following relationships?
ACBC=BCDC;ACAB=ABAD
- though a point outside a line, there is exactly one line perpendicular to the given line
- given the altitude of a right triangle, the legs are the geometric mean of the hypotenuse and the segment of the hypotenuse that is adjacent to the leg
- when the hypotenuse and a leg of a right triangle are congruent to corresponding parts of another right triangle, the triangles are congruent
- the sum of the side lengths of any two sides of a triangle are greater then the length of the third side