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3 years ago

What is the length of in the right triangle below? A. B. 24 C. 576 D. 36 E. 16 F. 260

Mathematics

2 answers:

OLEGan [10]3 years ago

8 0

Answer:

B: 24

Step-by-step explanation:

26²-10²= 676-100=576

√576=24 => B

harina [27]3 years ago

7 0

Answer:

B. 24

Step-by-step explanation:

To find this, use Pythagorean Theorem

a^2+b^2=c^2

a is 10, and c is 26. We know 26 is the hypotenuse because it is opposite the right angle

10^2=b^2=26^2

100+b^2=676

Subtract 100 on both sides

b^2=576

Take the square root of both sides

b=24

Hope this helps! :)

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Determine the ratio in which the point (–6, m) divides the join of A(–3, –1) and B(–8, 9). Also, find the value of m.

PSYCHO15rus [73]

Answer:

Ratio = 3 : 2 and value of m = 5.

Step-by-step explanation:

We are given the end points ( -3,-1 ) and ( -8,9 ) of a line and a point P = ( -6,m ) divides this line in a particular ratio.

Let us assume that it cuts the line in k : 1 ratio.

Then, the co-ordinates of P = $( \frac{-8k-3}{k+1},\frac{9k-1}{k+1} )$ .

But, $\frac{-8k-3}{k+1}$ = -6

i.e. -8k-3 = -6k-6

i.e. -2k = -3

i.e. $k = \frac{3}{2}$

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Hence, the ratio in which P divides the line is 3 : 2.

Also, $\frac{9k-1}{k+1}$ = m where $k = \frac{3}{2}$

i.e. m = $\frac{\frac{9 \times 3}{2}-1}{\frac{3}{2}-1}$

i.e. m = $\frac{27-2}{3+2}$

i.e. m = $\frac{25}{5}$

i.e. m = 5.

Hence, the value of m is 5.

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