Question

In ΔABC angle C is 90 degree and angle B is 45 degree then state that which of the following is true?
a) base=perpendicular b) base=hypotenuse
c) perpendicular=hypotenuse d) base + perpendicular= hypotenuce

Answer 1

a. base=perpendicular  is the correct answer.

Answer 2

d) base + perpendicular = leg + leg = hypotenuse is true (by the Pythagorean theorem).

In a right triangle, the side opposite the right angle is called the hypotenuse, and the other two sides are called the legs. The leg opposite the 45-degree angle is congruent to the other leg.

Therefore, in ΔABC with right angle C and angle B being 45 degrees, we can conclude that:

a) base = perpendicular is not necessarily true.

b) base = hypotenuse is not true because the hypotenuse is AC.

c) perpendicular = leg (not hypotenuse) is true.

d) base + perpendicular = leg + leg = hypotenuse is true (by the Pythagorean theorem).

Therefore, the correct statement is d) base + perpendicular = hypotenuse.

For similar question on Pythagorean theorem.

https://brainly.in/question/185373

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