Question

Which of the triangle(s) shown is similar to triangle c? b d e f g h

Answer 1

The triangle h is similar to triangle c by AA Similarity Theorem.

Further Explanation:

The similar triangles are those in which all the corresponding angles are equal and the sides are proportional.

There are many similarity rules and are as follows.

1. Angle Angle (AA)

2. Side SideSide (SSS)

3. Side Angle Side (SAS)

Explanation:

In triangle (a)

The two angles are ${60^ \circ }{\text{ and }}{60^ \circ }.$

The third angle can be obtained as follows,

$\begin{aligned}{\text{Angle}}&= {180^ \circ } - {60^ \circ } - {60^ \circ }\\&= {60^ \circ }\\\end{aligned}$

All the angles are of ${60^ \circ }.$

Triangle (b) is an isosceles triangle.

The angles of the triangle are ${30^ \circ },{75^ \circ }{\text{ and }}{75^ \circ }.$

Triangle (c) is a right angles triangle.

The angles are ${30^ \circ },{90^ \circ }{\text{ and }}{60^ \circ }.$

The angles of triangle (e) are ${45^ \circ },{90^ \circ }{\text{ and }}{45^ \circ }.$

The angles of triangle (f) are ${45^ \circ },{90^ \circ }{\text{ and }}{45^ \circ }.$

The angles of triangle (g) are ${45^ \circ },{67.5^ \circ }{\text{ and }}{67.5^ \circ }.$

Triangle (h) is a right angles triangle.

The angles are ${30^ \circ },{90^ \circ }{\text{ and }}{60^ \circ }.$

Therefore, triangle (c) and triangle (h) are similar to each other by AA Similarity Theorem.

Learn more:

1. Learn more about inverse of the function brainly.com/question/1632445.
2. Learn more about equation of circle brainly.com/question/1506955.
3. Learn more about range and domain of the function brainly.com/question/3412497.

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Triangle

Keywords: similar, two triangles, congruent, angles, triangle, ASA, angle side angle, congruent sides, acute angle, side, corresponding angles, congruent triangle, similarity theorem, SSS congruency theorem, SSS similarity theorem, AA similarity postulate, SAS congruency postulate.

Answer 2

Answer:

Triangle h

Step-by-step explanation:

we know that

The measure of the internal angles of the right triangle c are

$30\°-90\°-60\°$

The triangle e is a right triangle but the measure of the internal angles are

$45\°-90\°-45\°$ ------> is not the solution

The triangle f is a right triangle but the measure of the internal angles are

$45\°-90\°-45\°$ ------> is not the solution

The triangle h is a right triangle and the measure of the internal angles are

$30\°-90\°-60\°$ ------> is the solution