CUET UG 2025 — General Test Geometry

2025mcqeasy

The area of a right-angled triangle with hypotenuse 17 cm and one side being 8 cm shall be:

Official previous-year question

Held on 22 May 2025 · Verified 13 Jul 2026.

Options

A
68 $cm^2$
B
60 $cm^2$
C
120 $cm^2$
D
136 $cm^2$

Did you get this right?

Solution

The hypotenuse is 17 cm and one side is 8 cm.

Using the Pythagorean Theorem:

$(Hypotenuse)^2 = (Side_1)^2 + (Side_2)^2$

$(17)^2 = (8)^2 + (Side_2)^2$

$289 = 64 + (Side_2)^2$

$(Side_2)^2 = 289 - 64$

$(Side_2)^2 = 225$

$Side_2 = \sqrt{225}$

$Side_2 = 15$ cm

The two sides are 8 cm and 15 cm.

In a right-angled triangle, the two sides (not the hypotenuse) act as base and height.

Area $= \dfrac{1}{2} \times base \times height$

Area $= \dfrac{1}{2} \times 8 \times 15$

Area $= \dfrac{1}{2} \times 120$

Area $= 60$ cm²

Therefore, the area of the right-angled triangle is 60 cm².

Your note

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CUET UG 2025 — General Test Geometry

2025mcqeasy

The area of a right-angled triangle with hypotenuse 17 cm and one side being 8 cm shall be:

Official previous-year question

Held on 22 May 2025 · Verified 13 Jul 2026.

Options

A
68 $cm^2$
B
60 $cm^2$
C
120 $cm^2$
D
136 $cm^2$

Did you get this right?

Solution

The hypotenuse is 17 cm and one side is 8 cm.

Using the Pythagorean Theorem:

$(Hypotenuse)^2 = (Side_1)^2 + (Side_2)^2$

$(17)^2 = (8)^2 + (Side_2)^2$

$289 = 64 + (Side_2)^2$

$(Side_2)^2 = 289 - 64$

$(Side_2)^2 = 225$

$Side_2 = \sqrt{225}$

$Side_2 = 15$ cm

The two sides are 8 cm and 15 cm.

In a right-angled triangle, the two sides (not the hypotenuse) act as base and height.

Area $= \dfrac{1}{2} \times base \times height$

Area $= \dfrac{1}{2} \times 8 \times 15$

Area $= \dfrac{1}{2} \times 120$

Area $= 60$ cm²

Therefore, the area of the right-angled triangle is 60 cm².

Your note

CUET UG Geometry in other years

Geometry 2024 Geometry 2023 Geometry 2022

Keep practicing Geometry

Work through every CUET UG Geometry PYQ, year by year.

Browse all General Test topics

CUET UG 2025 — General Test Geometry

Options

Did you get this right?

Solution

Your note

CUET UG Geometry in other years

More CUET UG Geometry questions

Other General Test topics for CUET UG

General Knowledge

Logical Reasoning

Arithmetic

Quantitative Reasoning

Current Affairs

Keep practicing Geometry

CUET UG 2025 — General Test Geometry

Options

Did you get this right?

Solution

Your note

CUET UG Geometry in other years

More CUET UG Geometry questions

Other General Test topics for CUET UG

General Knowledge

Logical Reasoning

Arithmetic

Quantitative Reasoning

Current Affairs

Keep practicing Geometry