n triangle (not a right triangle), altitude is drawn to side . The length of is . Which of the following statements must be true?
Triangle A B C is not a right triangle. Altitude C D is drawn to side A B and is length h. Side A C is b, side B C is a and A D is e. Angle A C B is 75 degrees. Side A B is length c.
A:
The measure of angle is the same measure as angle .
B:
.
C:
Triangle is similar to triangle .
D:
The area of triangle equals .

Question

12-12-2022
Mathematics

Answered

n triangle (not a right triangle), altitude is drawn to side . The length of is . Which of the following statements must be true?
Triangle A B C is not a right triangle. Altitude C D is drawn to side A B and is length h. Side A C is b, side B C is a and A D is e. Angle A C B is 75 degrees. Side A B is length c.
A:
The measure of angle is the same measure as angle .
B:
.
C:
Triangle is similar to triangle .
D:
The area of triangle equals .

Answer :

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contexto1028 contexto1028 · Answer 1 · 2022-12-18T22:39:35-05:00

These kinds of triangles are referred to as right-angle triangles because they have two angles that are acute and one at 90°.

Only a right-angle triangle can use it.

This theorem states that the square sum of the other two sides, Base and Perpendicular, and the longest side, Hypotenuse, is equal.

(H y p o t e n u s e) 2 = (B a s e) 2 + (P e r p e n d i c u l a r) 2

According to Pythagoras' theorem, "The square on the hypotenuse is equal to the sum of the squares on the other two sides" holds true for all right-angled triangles. The longest side, the hypotenuse always faces the right angle. A right angle is used in this triangle, where a 2 is equal to b 2 and c 2.

To learn more about Pythagoras' theorem here

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