Find a third number so that numbers form a right triangle 13,85

Mathematics

1 answer:

crimeas [40]4 years ago

3 0

Answer:

The third number is 84

Step-by-step explanation:

Given two numbers as 13 , 85

To make the triangle to be right angle , Pythagoras theorem is applied ,

i.e H² = P² + B²

Here H = 85 ,

Let perpendicular = x and base = 13

So, P² = H² - B²

Or, x² = 85² - 13²

Or, x² = 7225 - 169

Or, x² = 7056

i.e x = $\sqrt{7056}$ = 84

Hence, the third number to make it right triangle = 84 Answer

You might be interested in

Solve the Quadratics:

Inessa [10]

Answer: 1. {-2, -3} 2. {-5, 5} 3. {-3, 5}

<u>Step-by-step explanation:</u>

1) First, factor the equation by finding two numbers whose product is 6 and sum is 5. Then apply the Zero Product Property by setting each product equal to zero and solving for m.

m² + 5m + 6 = 0

∧

1 + 6 = 7

2 + 3 = 5 This works!

(x + 2)(x + 3) = 0

x + 2 = 0 x + 3 = 0

x = -2 x = -3

2) Factor out the GCF of 5. Notice the remaining factor is the difference of squares (because the middle term is missing and the first and last terms are perfect squares. Then apply the Zero Product Property by setting each product equal to zero and solving for p.

5p² - 125 = 0

5(p² - 25) = 0

5(p +5)(p - 5) = 0

5 ≠ 0 p+ 5 = 0 p - 5 = 0

p = -5 p = 5

3) Factor out the GCF of 2. Factor the equation by finding two numbers whose product is -15 and sum is -2. Then apply the Zero Product Property by setting each product equal to zero and solving for x.

2x² - 4x - 30 = 0

2(x² - 2 - 15) = 0

∧

1 - 15 = -14

3 - 5 = -2 This works!

(x + 3)(x - 5) = 0

x + 3 = 0 x - 5 = 0

x = -3 x = 5

***************************************************

You are allowed a maximum of 3 questions.

Try #4 and #5 on your own. If you still need help with them, please create a new question and post them.

4 0