In a right-angled triangle ABC, if angle B = 90°, then which of the following is true?
a. AB² = BC² + AC²
b. AC² = AB² + BC²
c. AB = BC + AC
d. AC = AB + BC

Solution:

Given, ABC is a right triangle.

Angle B is right angled.

We have to find the correct option.

Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“.

According to Pythagorean theorem,

Hypotenuse² = Perpendicular² + Base²

Here, hypotenuse = AC
Perpendicular = AB

Base = BC

Therefore, AC² = AB² + BC²

✦ Try This: Can 40°, 122°, 18° form the angles of a triangle

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 6

NCERT Exemplar Class 7 Maths Chapter 6 Problem 37

In a right-angled triangle ABC, if angle B = 90°, then which of the following is true? a. AB² = BC² + AC², b. AC² = AB² + BC², c. AB = BC + AC, d. AC = AB + BC

Summary:

In a right-angled triangle ABC, if angle B = 90°, then out of the given option AB² = BC² + AC² is true

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