The legs of a right triangle measure 13 centimeters and 17 centimeters. which of the following is the measure for the longest side of the triangle?

Answer with Step-by-step explanation:

In a right angled triangle the longest side is its hypotenuse.

And according to Pythagorean theorem:

Hypotenuse is equal to square root of the sum of squares of the legs of the right angled triangle.

i.e.

where x and y are legs of right angled triangle

Here, x=13 and y=17

Hypotenuse= 21.4 cm

Hence, measure for the longest side of the triangle is:

21.4 cm

we know that

applying the law of sines

°

so

∠j=18°

∠k=29°

∠l=180-(18+29)=133°

the answer part a) is

the measure of angle k is  ≈29°

part b)  the measure of angle k could also be

(180-29)=151°

so

∠j=18°

∠k=151°

∠l=180-(18+151)=11°

the answer part b) is

the measure of angle k could also be 151°

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-10i^2-4i

step-by-step explanation:

evaluate for p=2,q=5i

(2−4)(2+5i)i

(2−4)(2+5i)i

=−10i2−4i