How to find the length of the side of a triangle

Practice Questions

ISEE Upper Level (grades 9-12) Quantitative Reasoning › How to find the length of the side of a triangle

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1

Given $\Delta ABC$ with right angle $\angle B$ , $m \angle C = 50 ^{\circ }$ .

Which is the greater quantity?

(a)

(b)

2

Given $\Delta ABC$ with . Which is the greater quantity?

(a)

(b)

3

$\Delta ABC$ is an isosceles triangle with obtuse angle $\angle A$ .

Which is the greater quantity?

(a)

(b)

4

$\Delta ABC$ is acute; . Which is the greater quantity?

(a)

(b)

5

Given: $\bigtriangleup ABC$ . $AB= AC = 12, m \angle A = 80 ^{\circ }$ . Which is the greater quantity?

(a) 18

(b)

6

Which of the following could be the lengths of the three sides of a scalene triangle?

7

Two sides of a triangle have length 8 inches and 6 inches. Which of the following lengths of the third side would make the triangle isosceles?

8

Isosceles

Note: Figure NOT drawn to scale.

Refer to the above diagram. Which expression is equivalent to ?

9

Given $\Delta ABC$ with . Which is the greater quantity?

(a)

(b)

10

$\Delta ABC$ has obtuse angle $\angle B$ ; . Which is the greater quantity?

(a)

(b)

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