Question

In a right triangle ABC, the right angle is at C. The measure od AC is 6 and BC is 7. What is the measure of AB

Answer 1

Answer:

root 85

Step-by-step explanation:

In triangle ABC angle C=90

AB^2=AC^2+BC^2

AB^2=6^2+7^2

AB^2=36+49

AB^2=85

AB=root 85.

Answer 2

Answer:

The measure of AB =  $\sqrt{85}$

Step-by-step explanation:

Given,

ΔABC is a right-angled triangle right angled at C

AC = 6

BC = 7

To find,

The measure of AB

Recall the theorem:

Pythagoras Theorem:

In a right-angled triangle, the square of the hypotenuse is equal to the sum of squares of the other two sides

Solution:

We ΔABC is a right-angled triangle right angled at C.

The hypotenuse of the right-angled triangle is the side opposite to the right angle.

Since ∠C is the right angle in ΔABC, the hypotenuse of the ΔABC is AB

Then by Pythagoras' theorem,

AB² = AC² + BC²

Substituting the values of AC and BC we get

AB² = 6² + 7²

= 36+49

= 85

AB = $\sqrt{85}$

∴ The measure of AB =  $\sqrt{85}$

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