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Dimas [21]
3 years ago
14

please help as soon as possible-Solve the right triangle shown in the figure. WIll mark brainliest to first correct answer

Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
6 0

Answer:

option a is the correct answer; ∠A = 68°, ∠B = 22°, AB = 2.9 cm

Step-by-step explanation:

From my understanding, we have to find angle A, angle B and side AB.

<u>Step 1: Find side AB</u>

<em>AB can be solved through the Pythagoras theorem.</em>

<em>c² = a² + b²</em>

<em>c² = 2.7² + 1.1²</em>

<em>c² = 8.5</em>

<em>c = √8.5</em>

c = 2.9 cm

<u>Step 2: Find angle A</u>

<em>Angle A can be found through tan formula</em>

<em>tan (angle) = opposite/adjacent</em>

<em>tan (angle A) = BC/AC</em>

<em>tan (angle A) = 2.7/1.1</em>

<em>Angle A = tan inverse (2.7/1.1)</em>

Angle A = 68°

<u>Step 3: Find angle B</u>

<em>All 3 angles of a triangle are equal to 180°</em>

<em>Angle A + Angle B + Angle C = 180°</em>

<em>68 + B + 90 = 180°</em>

Angle B = 22°

option a is the correct answer; ∠A = 68°, ∠B = 22°, AB = 2.9 cm

!!

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A triangle has sides with lengths of 6 inches, 13 inches, and 17 inches. Is it a right triangle?
Tems11 [23]

Answer:

Nope

Step-by-step explanation:

To now if a triangle is a right angle, use Pythagoras Theorem,

a^2 + b^2 = c^2

C usually be the longest side of the triangle, C = 17

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6^2 + 13^2 =205

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4 0
2 years ago
Solve #1 pls, I need to find the shortest side, median side, and longest side
Lisa [10]

Answer:

Shortest side = 39 cm.

Median side = 65 cm.

Longest side = 91 cm.

Step-by-step explanation:

The perimeter in total is 195 cm. The ratio of the sides are 3 : 5 : 7.

First, find how much parts there are as a whole, by combining the ratios:

3 + 5 + 7 = 15 parts.

Divide the total of parts from the total measurement:

195/15 = 13

Each part has the measurement of 13 cm.

1 part = 13 cm.

Use the following ratio to solve for each of the sides:

Shortest side: 3

3 x 13 = 39

Shortest side = 39 cm.

Median side: 5

5 x 13 = 65

Median side = 65 cm.

Longest side: 7

7 x 13 = 91

Longest side = 91 cm.

Check. Combine all side measurements together. They should equal 195:

39 + 65 + 91 = 195

(39 + 65) + 91 = 195

(104) + 91 = 195

195 = 195 (True).

~

8 0
3 years ago
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