Mathematics , 22.06.2019 18:30 kiwipitts4856

Triangle hkj is inscribed in the circle as shown. if the triangle is a right triangle, what can you conclude about hj?

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Answer from: fluchr6174

HJ is diameter.

Step-by-step explanation:

Given Triangle HKJ is inscribed in the circle. we have to conclude about HJ if the triangle is a right triangle.

All the three sides are chord of the circle.

As given HKJ is right angled triangle i.e∠HKJ=90° and angle subtended by diameter in the semicircle is 90° implies HJ is diameter because if the HJ moves towards the angle then the given angle becomes acute and if moves away from the angle then the angle becomes obtuse which contradict the given information.

hence, the only possibility about the line HJ is that it is a diameter.

Answer from: marifermolina

A. The angle measures are 30°, 60°, and 90°.

on edge

Step-by-step explanation:

Answer from: jaelynnm

Can see the diagram of the triangle

Step-by-step explanation:

Answer from: brooke0713

In the given triangles all the triangles have one angle equals to 90° so, all three triangles are right angled triangle.

Step-by-step explanation:

If a triangle has one angle equals to 90° then that triangle is called right angled triangle.

In the given triangles all the triangles have one angle equals to 90° so, all three triangles are right angled triangle.

1) The angle measures are 30°, 60°, and 90°.

One angle is 90° and is right so the triangle is right angled triangle, the other two angles are 30° and 60°. The sum of all angles is equal to 180°

2) The angle measures are 45°, 45°, and 90°

This is an isosceles right angled triangle because one angle is 90° and other two angles are same i.e 45°

3) The triangle has a 90° angle, but the other angle measures cannot be determined.

If one angle is 90° then the other two angles will be less than 90°(acute angles) and the sum of all three angles would be equal to 180°

Answer from: camilacarrielh15

The angle measures are 30°,60°,and 90°

Step-by-step explanation:

Answer from: dlatricewilcoxp0tsdw

The answer is A) The angle measures are 30°, 60°, and 90°.

Step-by-step explanation:

Using Pythagorean theorem (A^2+B^2=C^2), we can determine the measures of the different angles. Using the right angle, which is 90 degrees, we can plug it into the equation and get, The angle measures are 30°, 60°, and 90°. Good luck :)

Answer from: Byanka032801

If 30 60 90 right triangle then ratio of short leg : long leg : hypotenuse = a : a√3 : 2a

in this case

short leg = 4
long leg = 4√3 (short leg times √3)
and
hypotenuse = 8 (twice of short leg)

so answer is A.
The angle measures are 30, 60 and 90

Answer from: giuliabril

That both 2 angles of the triangles are not equal to the third angle... the third angle is most likely bigger because it would not exactly be a triangle if it wasnt

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