Question

In a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. if a=7 feet and b=7 feet, what is c? if necessary, round to the nearest tenth.

Answer 1

The length of hypotenuse when the value of legs of a right angled triangle are 7 and 7 feet is 9.9 feet.

Given that a and b are legs and c is the hypotenuse. length of legs of a right angled triangle  are 7 feet and 7 feet.

We have to find the value of c in the right angled triangle.

In this we have to apply pythagoras theorem because it says tat the square of hypotenuse is equal to the sum of squares of base and perpendicular of that right angled triangle.

$H^{2} =P^{2} +B^{2}$

H=c

P=7 feet

B=7 feet.

Put the values in the above rule:

$c^{2} =7^{2} +7^{2}$

$c^{2}$=49+49

$c^{2}$=98

c=9.899

After rounding off to nearest tenth we will get c=9.9.

Hence the value of c is 9.9 which is the length of hypotenuse.

Learn more about pythagoras theorem at brainly.com/question/343682

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