Mathematics, 13.03.2020 23:20 lalaeli07

Which statements about the right triangle are correct

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Answer from: gabi83

The statements 2, 4, and 5 are correct about the right-angled triangle.

Step-by-step explanation:

Step 1:

The formulae needed to solve the problem are;

$sin\theta = \frac{oppositeside}{hypotenuse} , cos\theta = \frac{adjacent side}{hypotenuse}, tan\theta = \frac{opposite side}{adjacentside},$

$cosec\theta = \frac{hypotenuse}{oppositeside} , sec\theta = \frac{hypotenuse}{adjacent side}, cot\theta = \frac{adjacent side}{oppositeside}.$

Step 2:

If the angle is B, the opposite side measures 5 units, the adjacent side measures 12 units, and the hypotenuse measures 13 units.

$cos B = \frac{12}{13} , sec B = \frac{13}{12} .$

Step 3:

If the angle is A, the opposite side measures 12 units, the adjacent side measures 5 units, and the hypotenuse measures 13 units.

$cot A = \frac{5}{12} , cosecA = \frac{13}{12} , sinA =\frac{12}{13} , tan A = \frac{12}{5}$ .

Of the six given options, options $cot A = \frac{5}{12}, sinA =\frac{12}{13} ,sec B = \frac{13}{12}$ are the right options.

Answer from: Quest

answer: 298143

step-by-step explanation:

Answer from: Quest

Answer: question no. 1 -a. yes, the sides are in the ratio 2 : 5.question no. 2 -b. 59°question no. 3 -c. angles x and y are remote interior angles.question no. 4 -d. 90°, 45° and 45°question no. 5 -b. mn and qrstep-by-step explanation: question no. 1 -rs : xu = 3 : 7.5 = 2 : 5rt : x? = 6.4 : 16 = 2 : 5st : u? = 6 : 15 = 2 : 5as the ratios of all sides are equivalent, the triangles must be congruent and the sides must be proportional.therefore, the answer is: a. yes, the sides are in the ratio 2 : 5.question no. 2 -in the second diagram, angle b is the only letter not shown. therefore, the number must be equivalent to angle b.if we substitute the value of angle b as being 22° in the first diagram, we can now use the angle sum of a triangle to obtain the value of angle a.angle sum of a triangle = 180°therefore: let angle a = aa + 99 + 22 = 180a = 180 - 99 - 22a = 59°therefore, the answer is: b. 59°question no. 3 -angles x and y don't share the vertex of the triangle with the exterior angle w. remote interior angles don't share a vertex of a triangle with an exterior angle. this means that angles x and y are remote interior angles.therefore, the answer is: c. angles x and y are remote interior angles.question no. 4 -the sum of all interior angles of a triangle must be equivalent to 180°.90°, 45° and 45° are the only set of angle measures that are equivalent to 180°.therefore, the answer is: d. 90°, 45° and 45°question no. 5 -the only pair of sides stated in the options which are corresponding are mn and qr.therefore, the answer is: b. mn and qr.

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Which statements about the right triangle are correct
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